The continuous wavelet transform on ultradistribution spaces

DOI10.4064/CM7389-8-2018zbMath1426.42033OpenAlexW2937867460WikidataQ128059245 ScholiaQ128059245MaRDI QIDQ5226496

Abhishek Singh, Anshu Mala

Publication date: 31 July 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7389-8-2018

zbMATH Keywords

Fourier transformwavelet transformultradistributionsinfraexponential decaying wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General harmonic expansions, frames (42C15)

Related Items (1)

Boundedness of fractional Hankel wavelet transform on some Beurling type spaces

Cites Work

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• Wavelet transform of generalized functions in \(K'\{M_p\}\) spaces
• Infraexponential decay of wavelets
• The wavelet transform
• Ultradistributions and quantum fields: Fourier-Laplace transforms and boundary values of analytic functions
• Distributional wavelet transform
• Linear partial differential operators and generalized distributions
• Mexican hat wavelet transform of distributions
• Band-Limited Wavelets with Subexponential Decay

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