Archivio Istituzionale della RicercaIn 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.
An Introduction to the Gabor Wave Front Set / Rodino, L.; Trapasso, S. I. (SPRINGER INDAM SERIES). - In: Springer INdAM SeriesELETTRONICO. - [s.l] : Springer-Verlag Italia, 2021. - ISBN 978-3-030-61345-7. - pp. 369-393 [10.1007/978-3-030-61346-4_17]
An Introduction to the Gabor Wave Front Set
Trapasso S. I.
2021
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.
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rt gabor wavefront.pdf
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Rodino, Trapasso - Chapter Anomalies 2021.pdf
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https://hdl.handle.net/11583/2908115