Publications
Working papers
Alberti, Giovanni S.; Felisi, Alessandro; Santacesaria, Matteo; Trapasso, S. Ivan
Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI Working paper
2025.
@workingpaper{AFST_CSIP2_25,
title = {Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI},
author = {Giovanni S. Alberti and Alessandro Felisi and Matteo Santacesaria and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2501.01929},
year = {2025},
date = {2025-01-03},
urldate = {2025-01-03},
abstract = {We expand the sample complexity theory for ill-posed inverse problems developed in a previous work, based on infinite-dimensional compressed sensing and generalized sampling techniques, in order to handle at once a variety of practical applications (including deconvolution, source recovery, wavelet-Fourier coefficient recovery).},
keywords = {},
pubstate = {published},
tppubtype = {workingpaper}
}
Trapasso, S. Ivan
Wave packet analysis of semigroups generated by quadratic differential operators Working paper
2024.
@workingpaper{T_quadsg_24,
title = {Wave packet analysis of semigroups generated by quadratic differential operators},
author = {S. Ivan Trapasso},
url = {https://arxiv.org/abs/2408.11130},
year = {2024},
date = {2024-08-20},
urldate = {2024-08-20},
journal = {arXiv preprint arXiv:2408.11130},
abstract = {We perform a comprehensive phase space analysis of evolution equations associated with the Weyl quantization of a complex quadratic form on the Euclidean phase space with non-positive real part, extending known L^2 continuity results for the generated semigroups to modulation spaces, with sharp bounds.},
keywords = {},
pubstate = {published},
tppubtype = {workingpaper}
}
Mazzucchi, Sonia; Nicola, Fabio; Trapasso, S. Ivan
Phase space analysis of higher-order dispersive equations with point interactions Working paper
2024.
@workingpaper{MNT_hodisp_24,
title = {Phase space analysis of higher-order dispersive equations with point interactions},
author = {Sonia Mazzucchi and Fabio Nicola and S. Ivan Trapasso },
url = {https://arxiv.org/abs/2407.15521},
year = {2024},
date = {2024-07-22},
urldate = {2024-07-22},
journal = {arXiv preprint arXiv:2407.15521},
abstract = {We investigate nonlinear, higher-order dispersive equations with measure (or even less regular) potentials and initial data with low regularity. In particular, we locate the modulation/amalgam space regularity of the underlying Fresnel-type oscillatory functions, which is a problem of independent interest in harmonic analysis.},
keywords = {},
pubstate = {published},
tppubtype = {workingpaper}
}
Mazzucchi, Sonia; Nicola, Fabio; Trapasso, S. Ivan
Phase space analysis of finite and infinite dimensional Fresnel integrals Working paper
2024.
@workingpaper{MNT_fresnel_24,
title = {Phase space analysis of finite and infinite dimensional Fresnel integrals},
author = {Sonia Mazzucchi and Fabio Nicola and S. Ivan Trapasso },
url = {https://arxiv.org/abs/2403.20082},
year = {2024},
date = {2024-03-29},
urldate = {2024-03-29},
journal = {arXiv preprint arXiv:2403.20082},
abstract = {In finite dimension, we prove the Fresnel integrability of functions in the Sjöstrand class, broadly extending the current knowledge on Fresnel integrable functions. We also discuss the problem of designing infinite dimensional extensions of this result in the general framework of projective systems of functionals.},
keywords = {},
pubstate = {published},
tppubtype = {workingpaper}
}
Nicola, Fabio; Trapasso, S. Ivan
On the stability of deep convolutional neural networks under irregular or random deformations Working paper
2021.
@workingpaper{NT_cnn_21,
title = {On the stability of deep convolutional neural networks under irregular or random deformations},
author = {Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2104.11977},
year = {2021},
date = {2021-04-24},
urldate = {2021-01-01},
journal = {arXiv preprint arXiv:2104.11977},
abstract = {We prove stability results for quite general neural networks (i.e., only assumed to satisfy a Lipschitz condition) without regularity assumptions on the (possibly random) deformation fields acting on the input.},
keywords = {},
pubstate = {published},
tppubtype = {workingpaper}
}
Journal Articles
Alberti, Giovanni S.; Felisi, Alessandro; Santacesaria, Matteo; Trapasso, S. Ivan
Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform Journal Article Forthcoming
In: J. Eur. Math. Soc. (JEMS) , iss. to appear, Forthcoming.
@article{AFST_JEMS_24,
title = {Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform},
author = {Giovanni S. Alberti and Alessandro Felisi and Matteo Santacesaria and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2302.03577},
year = {2025},
date = {2025-12-31},
urldate = {2024-12-31},
journal = {J. Eur. Math. Soc. (JEMS) },
issue = {to appear},
keywords = {},
pubstate = {forthcoming},
tppubtype = {article}
}
Trapasso, S. Ivan
Phase space analysis of spectral multipliers for the twisted Laplacian Journal Article
In: Trans. Amer. Math. Soc., vol. 378, no. 2, pp. 967-999, 2025.
@article{T_TAMS_24,
title = {Phase space analysis of spectral multipliers for the twisted Laplacian},
author = {S. Ivan Trapasso},
url = {https://arxiv.org/abs/2306.00592},
doi = {10.1090/tran/9224},
year = {2025},
date = {2025-02-01},
urldate = {2024-12-12},
journal = {Trans. Amer. Math. Soc.},
volume = {378},
number = {2},
pages = {967-999},
abstract = {We obtain boundedness results on modulation and Wiener amalgam spaces concerning some spectral multipliers for the twisted Laplacian, including fractional heat and wave-type flows. The proposed phase space approach circumvents the difficulties due to the lack of global ellipticity of the special Hermite operator.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Nicola, Fabio; Trapasso, S. Ivan
Stability of the scattering transform for deformations with minimal regularity Journal Article
In: J. Math. Pures Appl. , vol. 180, pp. 122–150, 2023.
@article{NT_JMPA_23,
title = {Stability of the scattering transform for deformations with minimal regularity},
author = {Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2205.11142
https://www.sciencedirect.com/science/article/pii/S0021782423001496/pdfft?md5=b95043909dc30fb3845bb0cac8a65b05&pid=1-s2.0-S0021782423001496-main.pdf, Open access PDF},
doi = {10.1016/j.matpur.2023.10.008},
year = {2023},
date = {2023-12-31},
urldate = {2023-12-31},
journal = {J. Math. Pures Appl. },
volume = {180},
pages = {122–150},
publisher = {Elsevier Masson},
abstract = {We elucidate here the interplay between the scattering transform architecture and the regularity of the deformation (Mallat’s stability conjecture) in the C^s regularity scale. We identify a threshold at s = 1 (instability for 0<=s< 1, stability for s>1). Endpoint stability is achievable up to arbitrarily small losses.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Bhimani, Divyang G.; Manna, Ramesh; Nicola, Fabio; Thangavelu, Sundaram; Trapasso, S. Ivan
On heat equations associated with fractional harmonic oscillators Journal Article
In: Fract. Calc. Appl. Anal., vol. 26, no. 6, pp. 2470–2492, 2023.
@article{BMNTT_FCAA_23,
title = {On heat equations associated with fractional harmonic oscillators},
author = {Divyang G. Bhimani and Ramesh Manna and Fabio Nicola and Sundaram Thangavelu and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2210.07691
https://link.springer.com/content/pdf/10.1007/s13540-023-00208-6.pdf, Open access PDF},
doi = {10.1007/s13540-023-00208-6},
year = {2023},
date = {2023-11-01},
urldate = {2023-11-01},
journal = {Fract. Calc. Appl. Anal.},
volume = {26},
number = {6},
pages = {2470–2492},
publisher = {Springer International Publishing Cham},
abstract = {We establish some novel fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator associated with the harmonic oscillator. As a byproduct, we obtain some local and global well-posedness results for nonlinear fractional heat equations.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Nicola, Fabio; Romero, José Luis; Trapasso, S. Ivan
On the existence of optimizers for time–frequency concentration problems Journal Article
In: Calc. Var. Partial Differential Equations, vol. 62, no. 1, pp. 1–21, 2023.
@article{NRT_CVPDE_23,
title = {On the existence of optimizers for time–frequency concentration problems},
author = {Fabio Nicola and José Luis Romero and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2112.09675
https://rdcu.be/cZmhU, View-only PDF},
doi = {10.1007/s00526-022-02358-6},
year = {2023},
date = {2023-08-31},
urldate = {2023-08-31},
journal = {Calc. Var. Partial Differential Equations},
volume = {62},
number = {1},
pages = {1–21},
publisher = {Springer Berlin Heidelberg},
abstract = {We consider the (open) problem of the maximum L^p-concentration in a subset of the time-frequency space for the ambiguity function of normalized signals in L^2(R^d) and show that maximizing waveforms do exist. The proof is based on the concentration compactness principle, with time-frequency shifts as dislocations.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Trapasso, S. Ivan
On the Convergence of a Novel Time-Slicing Approximation Scheme for Feynman Path Integrals Journal Article
In: Int. Math. Res. Not. IMRN, vol. 2023, no. 14, pp. 11930–11961, 2023.
@article{T_IMRN_23,
title = {On the Convergence of a Novel Time-Slicing Approximation Scheme for Feynman Path Integrals},
author = {S. Ivan Trapasso},
url = {https://arxiv.org/abs/2107.00886
https://academic.oup.com/imrn/article-pdf/2023/14/11930/50903363/rnac179.pdf?guestAccessKey=da9e1686-c0c6-4dd2-ab3a-2c00bf8a8840, Guest access PDF},
doi = {https://doi.org/10.1093/imrn/rnac179},
year = {2023},
date = {2023-07-31},
urldate = {2023-07-31},
journal = {Int. Math. Res. Not. IMRN},
volume = {2023},
number = {14},
pages = {11930–11961},
publisher = {Oxford University Press},
abstract = {We introduce a more general family of time slicing approximate Schrödinger propagators for Feynman path integrals and prove several convergence results, including pointwise convergence at the level of integral kernels - now with precise rates of convergence.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Bhimani, Divyang G.; Manna, Ramesh; Nicola, Fabio; Thangavelu, Sundaram; Trapasso, S. Ivan
Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness Journal Article
In: Adv. Math., vol. 392, pp. 107995, 2021.
@article{BMNTT_AIM_21,
title = {Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness},
author = {Divyang G. Bhimani and Ramesh Manna and Fabio Nicola and Sundaram Thangavelu and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2008.01226},
doi = {10.1016/j.aim.2021.107995},
year = {2021},
date = {2021-12-03},
urldate = {2021-01-01},
journal = {Adv. Math.},
volume = {392},
pages = {107995},
publisher = {Academic Press},
abstract = {We completely characterize the phase-space properties of the Hermite semigroup (and its fractional powers), with applications to global well-posedness of the corresponding nonlinear heat equations.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Cordero, Elena; Nicola, Fabio; Trapasso, S. Ivan
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators Journal Article
In: Appl. Comput. Harmon. Anal., vol. 55, pp. 405–425, 2021.
@article{CNT_ACHA_21,
title = {Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators},
author = {Elena Cordero and Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2005.03911},
doi = {10.1016/j.acha.2021.06.007},
year = {2021},
date = {2021-11-30},
urldate = {2021-11-30},
journal = {Appl. Comput. Harmon. Anal.},
volume = {55},
pages = {405–425},
publisher = {Academic Press},
abstract = {In this article we improve the known sparsity estimates for the time-frequency kernels of metaplectic operators, with applications to the propagation of singularities for the Schrödinger equation. The novel bounds recapture at once other expected phenomena, such as dispersion and spreading of wave packets.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Nicola, Fabio; Trapasso, S. Ivan
A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform Journal Article
In: J. Fourier Anal. Appl., vol. 26, no. 4, pp. 68, 2020.
@article{NT_JFAA_20,
title = {A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform},
author = {Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1911.12241},
doi = {10.1007/s00041-020-09769-z},
year = {2020},
date = {2020-07-30},
urldate = {2020-07-30},
journal = {J. Fourier Anal. Appl.},
volume = {26},
number = {4},
pages = {68},
publisher = {Springer US New York},
abstract = {We prove a novel, quantitative uncertainty principle for the Gabor transform that answers in the negative to a problem raised by Kreisel, which would have implied the validity of the famous HRT conjecture.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Trapasso, S. Ivan
Time-frequency analysis of the Dirac equation Journal Article
In: J. Differential Equations, vol. 269, no. 3, pp. 2477–2502, 2020.
@article{T_JDE_20,
title = {Time-frequency analysis of the Dirac equation},
author = {S. Ivan Trapasso},
url = {https://arxiv.org/abs/1909.09842
https://www.sciencedirect.com/science/article/pii/S0022039620300577/pdfft?md5=9529d30135284078192dbd0cbc114288&pid=1-s2.0-S0022039620300577-main.pdf, Free access PDF},
doi = {10.1016/j.jde.2020.02.002},
year = {2020},
date = {2020-07-15},
urldate = {2020-07-15},
journal = {J. Differential Equations},
volume = {269},
number = {3},
pages = {2477–2502},
publisher = {Academic Press},
abstract = {We investigate the properties of the Dirac equation using techniques of harmonic analysis in phase space there was only one article from this perspective before. For this study we expand the framework of vector-valued time-frequency analysis, which is of independent interest.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Nicola, Fabio; Trapasso, S. Ivan
On the pointwise convergence of the integral kernels in the Feynman-Trotter formula Journal Article
In: Comm. Math. Phys., vol. 376, no. 3, pp. 2277–2299, 2020.
@article{NT_CMP_20,
title = {On the pointwise convergence of the integral kernels in the Feynman-Trotter formula},
author = {Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1904.12531},
doi = {10.1007/s00220-019-03524-2},
year = {2020},
date = {2020-06-01},
journal = {Comm. Math. Phys.},
volume = {376},
number = {3},
pages = {2277–2299},
publisher = {Springer Berlin Heidelberg},
abstract = {Using techniques of harmonic analysis and pseudodifferential calculus we solve the (widely open) problem of the pointwise convergence of integral kernels for Feynman path integrals under the Trotter approximation scheme - in fact, raised heuristically by Feynman himself.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Cordero, Elena; Trapasso, S. Ivan
Linear perturbations of the Wigner distribution and the Cohen class Journal Article
In: Anal. Appl., vol. 18, no. 03, pp. 385–422, 2020.
@article{CT_AA_20,
title = {Linear perturbations of the Wigner distribution and the Cohen class},
author = {Elena Cordero and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1811.07795},
doi = {10.1142/S0219530519500052},
year = {2020},
date = {2020-05-01},
urldate = {2020-05-01},
journal = {Anal. Appl.},
volume = {18},
number = {03},
pages = {385–422},
publisher = {World Scientific Publishing Company},
abstract = {We introduce a family of Wigner-type phase space representations associated with invertible matrices and explore the corresponding properties. In particular, we characterize the time-frequency distributions of this family that belong to the Cohen class.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Nicola, Fabio; Trapasso, S. Ivan
Approximation of Feynman path integrals with non-smooth potentials Journal Article
In: J. Math. Phys., vol. 60, no. 10, pp. 102103, 2019.
@article{NT_JMP_19,
title = {Approximation of Feynman path integrals with non-smooth potentials},
author = {Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1812.07487},
doi = {10.1063/1.5095852},
year = {2019},
date = {2019-10-03},
urldate = {2019-10-03},
journal = {J. Math. Phys.},
volume = {60},
number = {10},
pages = {102103},
publisher = {AIP Publishing},
abstract = {We study the convergence in L^2 of a family of approximation operators for Feynman path integrals, under weak regularity assumptions on the potential. Inspired by the custom in physics and chemistry, the approximate propagators considered here arise from a Taylor-like series expansion of the action functional.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Cordero, Elena; Nicola, Fabio; Trapasso, S. Ivan
Almost Diagonalization of τ-Pseudodifferential Operators with Symbols in Wiener Amalgam and Modulation Spaces Journal Article
In: J. Fourier Anal. Appl., vol. 25, no. 4, pp. 1927–1957, 2019.
@article{CNT_JFAA_19,
title = {Almost Diagonalization of τ-Pseudodifferential Operators with Symbols in Wiener Amalgam and Modulation Spaces},
author = {Elena Cordero and Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1802.10314},
doi = {10.1007/s00041-018-09651-z},
year = {2019},
date = {2019-08-15},
urldate = {2019-01-01},
journal = {J. Fourier Anal. Appl.},
volume = {25},
number = {4},
pages = {1927–1957},
publisher = {Springer US},
abstract = {In this note we focus on the almost-diagonalization of τ-pseudodifferential operators by means of Gabor wave packets. As a consequence, we infer boundedness results and (Wiener) algebra properties for such operators on modulation and Wiener amalgam spaces.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Cordero, Elena; D'Elia, Lorenza; Trapasso, S. Ivan
Norm estimates for τ-pseudodifferential operators in Wiener amalgam and modulation spaces Journal Article
In: J. Math. Anal. Appl., vol. 471, no. 1-2, pp. 541–563, 2019.
@article{CDT_JMAA_19,
title = {Norm estimates for τ-pseudodifferential operators in Wiener amalgam and modulation spaces},
author = {Elena Cordero and Lorenza D'Elia and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1803.07865
https://www.sciencedirect.com/science/article/pii/S0022247X18309193/pdfft?md5=56e69bc9745c316f260d37420041913d&pid=1-s2.0-S0022247X18309193-main.pdf, Free access PDF},
doi = {https://doi.org/10.1016/j.jmaa.2018.10.090},
year = {2019},
date = {2019-03-01},
urldate = {2019-03-01},
journal = {J. Math. Anal. Appl.},
volume = {471},
number = {1-2},
pages = {541–563},
publisher = {Academic Press},
abstract = {Thanks to new uniform continuity estimates for τ-Wigner distributions we are able to prove sharp boundedness results for the companion τ-pseudodifferential operators with symbols in modulation and amalgam spaces.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
D'Elia, Lorenza; Trapasso, S. Ivan
Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces Journal Article
In: J. Pseudo-Differ. Oper. Appl., vol. 9, pp. 881–890, 2018.
@article{DT_18,
title = {Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces},
author = {Lorenza D'Elia and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1703.08989},
doi = {10.1007/s11868-017-0220-1},
year = {2018},
date = {2018-12-01},
urldate = {2018-12-01},
journal = {J. Pseudo-Differ. Oper. Appl.},
volume = {9},
pages = {881–890},
publisher = {Springer International Publishing},
abstract = {In this paper we obtain for the first time sufficient conditions for the continuity on modulation spaces of Weyl pseudodifferential operators with symbols in Wiener amalgam spaces.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Books
Nicola, Fabio; Trapasso, S. Ivan
Wave Packet Analysis of Feynman Path Integrals Book
Lecture Notes in Mathematics, Springer, Cham, 2022, ISBN: 9783031061851.
@book{NT_book_22,
title = {Wave Packet Analysis of Feynman Path Integrals},
author = {Fabio Nicola and S. Ivan Trapasso},
doi = {10.1007/978-3-031-06186-8},
isbn = {9783031061851},
year = {2022},
date = {2022-08-01},
urldate = {2022-08-01},
publisher = {Springer, Cham},
edition = {Lecture Notes in Mathematics},
abstract = {In this (refereed) monograph we offer a self-contained introduction to the basic tools of Gabor analysis. We then discuss their role in recent, major advances in the theory of mathematical path integrals.},
keywords = {},
pubstate = {published},
tppubtype = {book}
}
Book Sections
Rodino, Luigi; Trapasso, S. Ivan
An introduction to the Gabor wave front set Book Section
In: Anomalies in Partial Differential Equations, pp. 369–393, Springer, Cham, 2021.
@incollection{RT_INDAM_21,
title = {An introduction to the Gabor wave front set},
author = {Luigi Rodino and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2004.01290},
doi = {10.1007/978-3-030-61346-4_17},
year = {2021},
date = {2021-02-01},
urldate = {2021-02-01},
booktitle = {Anomalies in Partial Differential Equations},
pages = {369–393},
publisher = {Springer, Cham},
abstract = {In this expository note we present an introduction to the Gabor wave front set, a tool of (global) microlocal analysis, along with historical notes, examples and new results on the topic.},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Feichtinger, Hans G.; Nicola, Fabio; Trapasso, S. Ivan
On Exceptional Times for Pointwise Convergence of Integral Kernels in Feynman–Trotter Path Integrals Book Section
In: Anomalies in Partial Differential Equations, pp. 293–311, Springer, Cham, 2021, ISBN: 978-3-030-61345-7.
@incollection{FNT_INDAM_21,
title = {On Exceptional Times for Pointwise Convergence of Integral Kernels in Feynman–Trotter Path Integrals},
author = {Hans G. Feichtinger and Fabio Nicola and S. Ivan Trapasso},
url = {https://arxiv.org/abs/2004.06017},
doi = {10.1007/978-3-030-61346-4_13},
isbn = {978-3-030-61345-7},
year = {2021},
date = {2021-02-01},
urldate = {2021-02-01},
booktitle = {Anomalies in Partial Differential Equations},
pages = {293–311},
publisher = {Springer, Cham},
abstract = {We show that mild forms of convergence (precisely, in the sense of distributions with bounded spectrogram) occur at the level of kernels even at the so-called exceptional times.},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Trapasso, S. Ivan
A Time–Frequency Analysis Perspective on Feynman Path Integrals Book Section
In: pp. 175–202, Springer International Publishing, 2020, ISBN: 978-3-030-56004-1.
@incollection{T_ATFA_20,
title = {A Time–Frequency Analysis Perspective on Feynman Path Integrals},
author = {S. Ivan Trapasso},
url = {https://arxiv.org/abs/2004.01784},
doi = {10.1007/978-3-030-56005-8_10},
isbn = {978-3-030-56004-1},
year = {2020},
date = {2020-11-01},
urldate = {2020-11-01},
journal = {Landscapes of Time-Frequency Analysis: ATFA 2019},
pages = {175–202},
publisher = {Springer International Publishing},
abstract = {The purpose of this expository paper is to highlight the key role of techniques of time-frequency analysis in certain recent contributions concerning the mathematical theory of Feynman path integrals.},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Bayer, Dominik; Cordero, Elena; Gröchenig, Karlheinz; Trapasso, S. Ivan
Linear perturbations of the Wigner transform and the Weyl quantization Book Section
In: Advances in Microlocal and Time-Frequency Analysis, pp. 79–120, Birkhäuser, Cham, 2020, ISBN: 978-3-030-36137-2.
@incollection{BCGT_AMTFA_20,
title = {Linear perturbations of the Wigner transform and the Weyl quantization},
author = {Dominik Bayer and Elena Cordero and Karlheinz Gröchenig and S. Ivan Trapasso},
url = {https://arxiv.org/abs/1906.02503},
doi = {10.1007/978-3-030-36138-9_5},
isbn = {978-3-030-36137-2},
year = {2020},
date = {2020-03-01},
urldate = {2020-03-01},
booktitle = {Advances in Microlocal and Time-Frequency Analysis},
pages = {79–120},
publisher = {Birkhäuser, Cham},
abstract = {One can associate a pseudodifferential calculus with every linear perturbation of the Wigner distribution. We study the corresponding quantization rules and compare the resulting formalism with the standard Weyl calculus, emphasizing which properties are robust under such linear perturbations.},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Trapasso, S. Ivan
Almost Diagonalization of Pseudodifferential Operators Book Section
In: Landscapes of Time-Frequency Analysis, pp. 323–342, Springer, 2019, ISBN: 978-3-030-05209-6.
@incollection{T_LAND_19,
title = {Almost Diagonalization of Pseudodifferential Operators},
author = {S. Ivan Trapasso},
doi = {10.1007/978-3-030-05210-2_14},
isbn = {978-3-030-05209-6},
year = {2019},
date = {2019-02-01},
urldate = {2019-02-01},
booktitle = {Landscapes of Time-Frequency Analysis},
pages = {323–342},
publisher = {Springer},
abstract = {In this review paper we focus on the almost diagonalization of pseudodifferential operators. We especially emphasize the advantages offered by a time-frequency analysis approach in connection with this issue.},
keywords = {},
pubstate = {published},
tppubtype = {incollection}
}
Collections
Cordero, Elena; Trapasso, S. Ivan (Ed.)
Microlocal and Time-Frequency Analysis Collection
MDPI, Basel, 2022, ISBN: 978-3-0365-3173-1.
@collection{CT_M_22,
title = {Microlocal and Time-Frequency Analysis},
editor = {Elena Cordero and S. Ivan Trapasso},
url = {https://mdpi-res.com/bookfiles/book/5000/Microlocal_and_TimeFrequency_Analysis.pdf, Open access PDF
https://www.mdpi.com/journal/mathematics/special_issues/time-frequency-analysis, Special Issue details},
doi = {10.3390/books978-3-0365-3172-4},
isbn = {978-3-0365-3173-1},
year = {2022},
date = {2022-02-01},
urldate = {2022-02-01},
publisher = {MDPI, Basel},
abstract = {Printed edition of the Special Issue "Microlocal and Time-Frequency Analysis" published in Mathematics.},
keywords = {},
pubstate = {published},
tppubtype = {collection}
}
PhD Theses
Trapasso, S. Ivan
Quantization and Path Integrals: a Time-Frequency Analysis Approach PhD Thesis
2021.
@phdthesis{T_phd_21,
title = {Quantization and Path Integrals: a Time-Frequency Analysis Approach},
author = {S. Ivan Trapasso},
url = {https://hdl.handle.net/2318/2017264
https://iris.unito.it/retrieve/faf47dd0-42dc-4afd-a5a1-79c82aa1355f/tesi%20trapasso.pdf, Open access PDF},
year = {2021},
date = {2021-01-11},
urldate = {2021-01-11},
abstract = {Advisors: Elena Cordero and Fabio Nicola.
Date of the public defense: 11/01/2021.
Grade: Approved cum laude.},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
Date of the public defense: 11/01/2021.
Grade: Approved cum laude.