Zur Theorie der Integraltransformationen

DOI10.1002/MMA.1670010110zbMath0411.35087OpenAlexW2101924034MaRDI QIDQ4199199

R.Leis

Publication date: 1979

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670010110

zbMATH Keywords

Fourier sine transformcontinuous spectrumintegral transformationFourier serieseigenvalue problemsFourier transformationspectral projectorLebedev transformDirichlet problem of the plate equationselfadjoint uniformly elliptic differential operator

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) General integral transforms (44A05)

Cites Work

• Scattering theory for the d'Alembert equation in exterior domains
• Außenraumaufgaben zur Plattengleichung
• ON INTEGRAL TRANSFORM PAIRS ARISING FROM DIFFERENTIAL EQUATIONS OF ANY EVEN ORDER
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