Isometrical identities and inverse formulas in the one-dimensional heat equation

DOI10.1080/00036819108839999zbMath0746.44003OpenAlexW2022922498MaRDI QIDQ3979931

Saburou Saitoh

Publication date: 26 June 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108839999

zbMATH Keywords

heat equationanalytical solutionstransform methodtheory of reproducing kernelsinverse formulasisometrical identities

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

Reachable Space of the Hermite Heat Equation with Boundary Control ⋮ One approach to some general integral transforms and its applications ⋮ Reachable states for infinite-dimensional linear systems: old and new

Cites Work

• Hall-order differentials on Riemann surfaces
• The weierstrass transform and an isometry in the heat equation
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