Uncertainty principles and integral equations associated with a quadratic‐phase wavelet transform

DOI10.1002/MMA.9462MaRDI QIDQ6179568

Luis Filipe Pinheiro de Castro, Rita C. Guerra

Publication date: 16 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

integral equationconvolutionuncertainty principlequadratic-phase Fourier transformquadratic-phase wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85) Other transforms and operators of Fourier type (43A32) Other transformations of harmonic type (42C20) General integral transforms (44A05)

Cites Work

• Unnamed Item
• Quadratic Fourier transforms
• The uncertainty principle: A mathematical survey
• New convolutions for quadratic-phase Fourier integral operators and their applications
• Pseudo-differential operator associated with quadratic-phase Fourier transform
• Composition of quadratic-phase Fourier wavelet transform
• Convolution and product theorems for the quadratic-phase Fourier transform
• Pitt's Inequality and the Uncertainty Principle
• Uncertainty principles for the quadratic‐phase Fourier transforms
• Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators
• The quadratic‐phase Fourier wavelet transform

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