Inversion of integral transforms associated with a class of perturbed heat equations

DOI10.1016/0022-247X(92)90282-IzbMath0767.44006MaRDI QIDQ1191843

Ahmed I. Zayed, Deborah Tepper Haimo

Publication date: 27 September 1992

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

zbMATH Keywords

inversion formulaSturm-Liouville differential operator\(W\)- transformperturbed heat equationWeierstrass-Hankel convolutionWeierstrass-Laguerre transforms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Sturm-Liouville theory (34B24) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (1)

On the theta semigroup

Cites Work

• Inversion of an integral transform related to a general form of heat equation
• New multiplier methods for summing classical eigenfunction expansions
• Generalized temperature functions
• The Weierstrass-Laguerre transform
• The Weierstrass Hankel convolution transform
• Expansions in terms of Laguerre heat polynomials and of their temperature transforms
• Inversion of the reduced Poisson-Hankel transform
• The Dual Weierstrass-Laguerre Transform
• On the Singularities of Singular Sturm–Liouville Expansions and an Associated Class of Elliptic P.D.E’s
• Complex and real singularities of eigenfunction expansions
• On integral transforms whose kernels are solutions of singular Sturm–Liouville problems
• Stable Summation Methods for a Class of Singular Sturm-Liouville Expansions
• The Dual Poisson-Laguerre Transform
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