Paley–Wiener–Schwartz type theorem for the wavelet transform

DOI10.1080/00036811.2017.1422724zbMath1412.44005OpenAlexW2783828577MaRDI QIDQ5741689

Abhishek Singh, Ram Shankar Pathak

Publication date: 15 May 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1422724

zbMATH Keywords

Fourier transformwavelet transformdistribution spacedouble Fourier transforminfraexponential decaying wavelets

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General harmonic expansions, frames (42C15)

Related Items (7)

On the wavelet transform for Boehmians ⋮ Wavelet transform of multiplicators and convolutors for ultradistributions ⋮ Mexican hat wavelet transform and its applications ⋮ Paley-Wiener-Schwartz type theorem for ultradistributional wavelet transform ⋮ Mexican hat wavelet transform of generalized functions in \(\mathcal{G}^{\prime}\) spaces ⋮ Distributional Mexican hat wavelet transform ⋮ On the exchange property for the wavelet transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New classes of weighted Hölder-Zygmund spaces and the wavelet transform
• Tauberian theorems for the wavelet transform
• Infraexponential decay of wavelets
• The wavelet transform
• The wavelet transform of distributions
• Mexican hat wavelet transform of distributions
• The wavelet transform on spaces of type S
• Band-Limited Wavelets with Subexponential Decay
• The Ridgelet transform of distributions

This page was built for publication: Paley–Wiener–Schwartz type theorem for the wavelet transform