The Laplace transform and spectral representations of polynomial operator pencils

DOI10.1098/RSPA.1993.0149zbMath0813.47016OpenAlexW1966758955MaRDI QIDQ4307863

Anis A. Inayat-Hussain, C. Zorzan

Publication date: 28 May 1995

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1993.0149

zbMATH Keywords

Laplace transforminitial-value problemspectral representationGreen's operatorpolynomial operator pencilSturm-Liouville-Rossby type wave equation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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