\(L^p\)-Sobolev spaces and coupled potential operators associated with coupled fractional Fourier transform

DOI10.1007/S11868-024-00642-XMaRDI QIDQ6630797

Sourav Das, Shraban Das, Kanailal Mahato

Publication date: 31 October 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacepseudo-differential operatorSchwartz spacecoupled fractional Fourier transform

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Title not available (Why is that?)
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• A new perspective on the two-dimensional fractional Fourier transform and its relationship with the Wigner distribution
• On the Sobolev boundedness results of the product of pseudo-differential operators involving a couple of fractional Hankel transforms
• Estimates for translation invariant operators in \(L^p\) spaces
• Sobolev type spaces associated with Bessel operators
• The Kontorovich-Lebedev transform and Sobolev type space
• Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
• Product of two generalized pseudo-differential operators involving fractional Fourier transform
• Weinstein-Sobolev spaces of exponential type and applications
• A new fractional wavelet transform
• The generalized continuous wavelet transform associated with the fractional Fourier transform
• Pseudo-differential operator associated with the fractional Fourier transform
• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Fractional fourier transform of generalized functions
• Sobolev type spaces associated with jacobi differential operators
• Two-dimensional fractional Fourier transform and some of its properties
• On the extension of the coupled fractional Fourier transform and its properties
• Hermitian polynomials and Fourier analysis.
• On the class of uncertainty inequalities for the coupled fractional Fourier transform
• Pseudo-differential operators in the generalized Weinstein setting
• Canonical potential and L^p-Sobolev space involving linear canonical Fourier transform
• Uncertainty principles for the coupled fractional Wigner distribution
• Pseudo-differential operators of homogeneous symbol class associated with the Weinstein transform

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