Publications
Book chapters
Rodino, Luigi; Trapasso, S. Ivan
An introduction to the Gabor wave front set Book chapter
In: Anomalies in Partial Differential Equations, pp. 369–393, Springer, Cham, 2021.
Abstract | Links | BibTeX | Tags: Gabor analysis, microlocal analysis, time-frequency analysis, wave front sets
@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, arXiv},
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. As is often the case, this tool in microlocal analysis has been introduced and reinvented in different forms which turn out to be equivalent or intimately related. We provide a short review of the history of this notion and then focus on some recent variations inspired by function spaces in time-frequency analysis. Old and new results are presented, together with a number of concrete examples and applications to the problem of propagation of singularities.},
keywords = {Gabor analysis, microlocal analysis, time-frequency analysis, wave front sets},
pubstate = {published},
tppubtype = {incollection}
}
In this expository note we present an introduction to the Gabor wave front set. As is often the case, this tool in microlocal analysis has been introduced and reinvented in different forms which turn out to be equivalent or intimately related. We provide a short review of the history of this notion and then focus on some recent variations inspired by function spaces in time-frequency analysis. Old and new results are presented, together with a number of concrete examples and applications to the problem of propagation of singularities.
Edited volumes
Cordero, Elena; Trapasso, S. Ivan (Ed.)
Microlocal and Time-Frequency Analysis Edited volume
MDPI, Basel, 2022, ISBN: 978-3-0365-3173-1.
Abstract | Links | BibTeX | Tags: microlocal analysis, pseudodifferential operators, time-frequency analysis, wave front sets
@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, 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 = {microlocal analysis, pseudodifferential operators, time-frequency analysis, wave front sets},
pubstate = {published},
tppubtype = {collection}
}
Printed edition of the Special Issue "Microlocal and Time-Frequency Analysis" published in Mathematics.