The linear canonical wavelet transform on some function spaces

DOI10.1142/S0219691318500108zbMath1397.46033MaRDI QIDQ4603610

Bing-Zhao Li, Yong Guo

Publication date: 16 February 2018

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceSchwartz spacelinear canonical transformlinear canonical wavelet transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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Cites Work

• The wavelet transforms in Gelfand-Shilov spaces
• A novel fractional wavelet transform and its applications
• Fractional continuous wavelet transform on some function spaces
• Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
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• The generalized continuous wavelet transform associated with the fractional Fourier transform
• The Linear Canonical Transformation: Definition and Properties
• The fractional wavelet transform on spaces of type S
• Fourier analysis of generalized functions
• Fractional Fourier transform in the framework of fractional calculus operators
• The wavelet transform on spaces of type S
• The continuous fractional wavelet transform on generalized weighted Sobolev spaces
• Classical Fourier Analysis
• Fourier transform on integrable Boehmians
• Extrapolation of Bandlimited Signals in Linear Canonical Transform Domain
• The fractional wavelet transform on spaces of typeW
• The continuous fractional wavelet transform on a generalized Sobolev space

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