Inversion of an integral transform related to a general form of heat equation
- Zayed, Ahmed
- Haimo, Deborah Tepper
Publication date
April 1988
DOI Publisher
Published by Elsevier Inc. ISSN
0022-247XAbstract
AbstractInversion algorithms have been derived by D. V. Widder for the Weierstrass transform and by D. T. Haimo for the dual Weierstrass-Laguerre transform. For the general form of heat equation −Lxu = ut, Lx a self adjoint operator, an integral transform is introduced with kernel related to the fundamental solution of the equation. An inversion formula for the transform is derived which includes the previous results as special cases
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