Titlebook: Landscapes of Time-Frequency Analysis; ATFA 2019 Paolo Boggiatto,Tommaso Bruno,Maria Vallarino Book 2020 Springer Nature Switzerland AG 202

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Applied and Numerical Harmonic Analysishttp://image.papertrans.cn/l/image/580775.jpg

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Landscapes of Time-Frequency Analysis978-3-030-56005-8Series ISSN 2296-5009 Series E-ISSN 2296-5017

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,Time–Frequency Localization Operators: State of the Art,about boundedness and Schatten-von Neumann class are reported. Asymptotic eigenvalues’ distribution and decay and smoothness properties for ..-eigenfunctions are exhibited. Eventually, we make a conjecture about smoothness of ..-eigenfunctions for localization operators with Gelfand–Shilov windows and symbols in ultra-modulation spaces.

Magnitude

Some Notes About Distribution Frame Multipliers,y of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus.

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,A Time–Frequency Analysis Perspective on Feynman Path Integrals,ing the mathematical theory of Feynman path integrals. We hope to draw the interest of mathematicians working in time–frequency analysis on this topic, as well as to illustrate the benefits of this fruitful interplay for people working on path integrals.

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Radon Transform: Dual Pairs and Irreducible Representations,s theory of dual .-homogeneous pairs (., .) and which allows us to prove intertwining properties and inversion formulae of many existing Radon transforms. Here we analyze in detail one of the important aspects in the theory of dual pairs, namely the injectivity of the map label-to-manifold . and we

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