Privacy Policy

Publications

Working papers

Compressed sensing for inverse problems II: applications to deconvolution, source recovery, and MRI

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.

Abstract | Links | BibTeX

Wave packet analysis of semigroups generated by quadratic differential operators

Trapasso, S. Ivan

Wave packet analysis of semigroups generated by quadratic differential operators Working paper

2024.

Abstract | Links | BibTeX

Phase space analysis of higher-order dispersive equations with point interactions

Mazzucchi, Sonia; Nicola, Fabio; Trapasso, S. Ivan

Phase space analysis of higher-order dispersive equations with point interactions Working paper

2024.

Abstract | Links | BibTeX

Phase space analysis of finite and infinite dimensional Fresnel integrals

Mazzucchi, Sonia; Nicola, Fabio; Trapasso, S. Ivan

Phase space analysis of finite and infinite dimensional Fresnel integrals Working paper

2024.

Abstract | Links | BibTeX

On the stability of deep convolutional neural networks under irregular or random deformations

Nicola, Fabio; Trapasso, S. Ivan

On the stability of deep convolutional neural networks under irregular or random deformations Working paper

2021.

Abstract | Links | BibTeX

Journal Articles

Compressed sensing for inverse problems and the sample complexity of the sparse Radon transform

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.

Links | BibTeX

Phase space analysis of spectral multipliers for the twisted Laplacian

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.

Abstract | Links | BibTeX

Stability of the scattering transform for deformations with minimal regularity

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.

Abstract | Links | BibTeX

On heat equations associated with fractional harmonic oscillators

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.

Abstract | Links | BibTeX

On the existence of optimizers for time–frequency concentration problems

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.

Abstract | Links | BibTeX

On the Convergence of a Novel Time-Slicing Approximation Scheme for Feynman Path Integrals

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.

Abstract | Links | BibTeX

Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness

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.

Abstract | Links | BibTeX

Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators

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.

Abstract | Links | BibTeX

A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform

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.

Abstract | Links | BibTeX

Time-frequency analysis of the Dirac equation

Trapasso, S. Ivan

Time-frequency analysis of the Dirac equation Journal Article

In: J. Differential Equations, vol. 269, no. 3, pp. 2477–2502, 2020.

Abstract | Links | BibTeX

On the pointwise convergence of the integral kernels in the Feynman-Trotter formula

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.

Abstract | Links | BibTeX

Linear perturbations of the Wigner distribution and the Cohen class

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.

Abstract | Links | BibTeX

Approximation of Feynman path integrals with non-smooth potentials

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.

Abstract | Links | BibTeX

Almost Diagonalization of τ-Pseudodifferential Operators with Symbols in Wiener Amalgam and Modulation Spaces

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.

Abstract | Links | BibTeX

Norm estimates for τ-pseudodifferential operators in Wiener amalgam and modulation spaces

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.

Abstract | Links | BibTeX

Boundedness of pseudodifferential operators with symbols in Wiener amalgam spaces on modulation spaces

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.

Abstract | Links | BibTeX

Books

Wave Packet Analysis of Feynman Path Integrals

Nicola, Fabio; Trapasso, S. Ivan

Wave Packet Analysis of Feynman Path Integrals Book

Lecture Notes in Mathematics, Springer, Cham, 2022, ISBN: 9783031061851.

Abstract | Links | BibTeX

Book Sections

An introduction to the Gabor wave front set

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.

Abstract | Links | BibTeX

On Exceptional Times for Pointwise Convergence of Integral Kernels in Feynman–Trotter Path Integrals

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.

Abstract | Links | BibTeX

A Time–Frequency Analysis Perspective on Feynman Path Integrals

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.

Abstract | Links | BibTeX

Linear perturbations of the Wigner transform and the Weyl quantization

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.

Abstract | Links | BibTeX

Almost Diagonalization of Pseudodifferential Operators

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.

Abstract | Links | BibTeX

Collections

Microlocal and Time-Frequency Analysis

Cordero, Elena; Trapasso, S. Ivan (Ed.)

Microlocal and Time-Frequency Analysis Collection

MDPI, Basel, 2022, ISBN: 978-3-0365-3173-1.

Abstract | Links | BibTeX

PhD Theses

Quantization and Path Integrals: a Time-Frequency Analysis Approach

Trapasso, S. Ivan

Quantization and Path Integrals: a Time-Frequency Analysis Approach PhD Thesis

2021.

Abstract | Links | BibTeX