Spectral representation of the weighted Laplace transform

DOI10.1016/J.AML.2019.106136OpenAlexW2989773765MaRDI QIDQ2187082

Luigi Negro, Gisèle Ruiz Goldstein, Jerome A. Goldstein, Metafune, Giorgio

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106136

zbMATH Keywords

Laplace transformintegral operatorspectral analysis

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Laplace transform (44A10) Linear operators on function spaces (general) (47B38) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• An elementary approach to the multiplicity theory of multiplication operators
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• The weighted Laplace transform
• Theory of Simple Scattering and Eigenfunction Expansions

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