The short-time Fourier transform of distributions of exponential type and tauberian theorems for shift-asymptotics

DOI10.2298/FIL1611047KzbMath1462.81119arXiv1312.0986OpenAlexW3105886737MaRDI QIDQ5279582

Sanja Kostadinova, Katerina Hadzi-Velkova Saneva, Jasson Vindas, Stevan Pilipović

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0986

zbMATH Keywords

modulation spaces Tauberian theorems short-time Fourier transform regularly varying functions distributions of exponential type S-asymptotics \(\mathcal K'_1\) and \(\mathcal K_1\)Silva tempered ultradistributions (tempered ultra-hyperfunctions)

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Tauberian theorems (40E05)

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