Asymptotic relations for the distributional Stockwell and wavelet transforms

DOI10.1134/S0016266323010033OpenAlexW4386451676MaRDI QIDQ6096012

Jasmina Veta Buralieva

Publication date: 11 September 2023

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266323010033

zbMATH Keywords

distributionswavelet transformStockwell transformquasiasymptotic behaviorquasiasymptotic boundednessAbelian and Tauberian results

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12)

Cites Work

• Tauberian theorems for the wavelet transform
• Théorie des distributions à valeurs vectorielles
• Foundations of time-frequency analysis
• Directional short-time Fourier transform and quasiasymptotics of distributions
• Multidimensional Tauberian theorems for vector-valued distributions
• Modified Stockwell Transforms and Time-Frequency Analysis
• Tauberian theorems for the Stockwell transform of Lizorkin distributions
• Abelian and Tauberian results for the one-dimensional modified Stockwell transforms
• Continuous and discrete inversion formulas for the Stockwell transform
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