Quadratic-phase Fourier transform of tempered distributions and pseudo-differential operators

DOI10.1080/10652469.2021.1944132zbMath1501.46039OpenAlexW3177449102MaRDI QIDQ5078302

Tusharakanta Pradhan, Manish Kumar

Publication date: 23 May 2022

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2021.1944132

zbMATH Keywords

pseudo-differential operatorsgeneralized heat equationsgeneralized wave equationsquadratic-phase Fourier transformgeneralized telegraph equations

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Heat equation (35K05) Wave equation (35L05) Other transforms and operators of Fourier type (43A32) Pseudodifferential operators (47G30) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Related Items (2)

Pseudo-differential operator associated with quadratic-phase Fourier transform ⋮ Uncertainty principles and integral equations associated with a quadratic‐phase wavelet transform

Cites Work

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• New convolutions for quadratic-phase Fourier integral operators and their applications
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• Product of two generalized pseudo-differential operators involving fractional Fourier transform
• A new class of pseudo-differential operators involving linear canonical transform
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Fractional fourier transform of generalized functions
• The quadratic‐phase Fourier wavelet transform
• Linear Canonical Transformations and Their Unitary Representations

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