On a (no longer) new Segal algebra: a review of the Feichtinger algebra
MS Jakobsen - Journal of Fourier Analysis and Applications, 2018 - Springer
Since its invention in 1979 the Feichtinger algebra has become a useful Banach space of
functions with applications in time-frequency analysis, the theory of pseudo-differential …
functions with applications in time-frequency analysis, the theory of pseudo-differential …
[BOOK][B] Symplectic methods in harmonic analysis and in mathematical physics
MA De Gosson - 2011 - books.google.com
The aim of this book is to give a rigorous and complete treatment of various topics from
harmonic analysis with a strong emphasis on symplectic invariance properties, which are …
harmonic analysis with a strong emphasis on symplectic invariance properties, which are …
[BOOK][B] Modulation spaces
Á Bényi, KA Okoudjou, Á Bényi, KA Okoudjou - 2020 - Springer
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Account Menu Find a journal Publish with us Track your research Search Cart Book cover …
Account Menu Find a journal Publish with us Track your research Search Cart Book cover …
[BOOK][B] Quantum Harmonic Analysis: An Introduction
MA de Gosson - 2021 - books.google.com
Quantum mechanics is arguably one of the most successful scientific theories ever and its
applications to chemistry, optics, and information theory are innumerable. This book …
applications to chemistry, optics, and information theory are innumerable. This book …
Pseudodifferential equations, wave factorization, and related problems
VB Vasilyev - Mathematical Methods in the Applied Sciences, 2018 - Wiley Online Library
We consider a model elliptic pseudodifferential equation in a special canonical domains of a
multidimensional space. Using a special representation for an elliptic symbol, we give the …
multidimensional space. Using a special representation for an elliptic symbol, we give the …
The Gabor wave front set
L Rodino, P Wahlberg - Monatshefte für Mathematik, 2014 - Springer
We define the Gabor wave front set WF_G (u) WFG (u) of a tempered distribution uu in terms
of rapid decay of its Gabor coefficients in a conic subset of the phase space. We show the …
of rapid decay of its Gabor coefficients in a conic subset of the phase space. We show the …
Linear perturbations of the Wigner distribution and the Cohen class
The Wigner distribution is a milestone of Time–frequency Analysis. In order to cope with its
drawbacks while preserving the desirable features that made it so popular, several kinds of …
drawbacks while preserving the desirable features that made it so popular, several kinds of …
Gabor representations of evolution operators
We perform a time-frequency analysis of Fourier multipliers and, more generally,
pseudodifferential operators with symbols of Gevrey, analytic and ultra-analytic regularity. As …
pseudodifferential operators with symbols of Gevrey, analytic and ultra-analytic regularity. As …
Coorbit spaces for dual pairs
In this paper we present an abstract framework for construction of Banach spaces of
distributions from group representations. This extends the theory of coorbit spaces initiated …
distributions from group representations. This extends the theory of coorbit spaces initiated …
Double preconditioning for Gabor frame operators: algebraic, functional analytic and numerical aspects
This paper provides algebraic and analytic, as well as numerical arguments why and how
double preconditioning of the Gabor frame operator yields an efficient method to compute …
double preconditioning of the Gabor frame operator yields an efficient method to compute …