Logarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized Sobolev space

DOI10.1142/S0219691317500503zbMath1376.42049OpenAlexW2734586574MaRDI QIDQ5365373

Mawardi Bahri, Ryuichi Ashino

Publication date: 6 October 2017

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

Full work available at URL: https://doi.org/10.1142/s0219691317500503

zbMATH Keywords

fractional convolutioninner product relationcontinuous fractional wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators (47G30)

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