Inversion of an integral transform related to a general form of heat equation

DOI10.1016/0022-247X(88)90203-XzbMath0642.44002OpenAlexW2031785352MaRDI QIDQ1101638

Ahmed I. Zayed, Deborah Tepper Haimo

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90203-x

zbMATH Keywords

heat equationeigenvaluesinversion formulaspectrumparabolic equationeigenfunctionsWeierstrass transformselfadjoint elliptic operatorP-transformW-transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (2)

On the theta semigroup ⋮ Inversion of integral transforms associated with a class of perturbed heat equations

Cites Work

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• Radial bounds for perturbations of elliptic operators
• Integral representations of solutions of the generalized heat equation
• The Weierstrass-Laguerre transform
• The Weierstrass Hankel convolution transform
• Expansions in terms of Laguerre heat polynomials and of their temperature transforms
• The Dual Weierstrass-Laguerre Transform
• Integral Equations Associated with Hankel Convolutions
• The Poisson-Laguerre transform
• The Dual Poisson-Laguerre Transform

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