Applications of multiparameter spectral theory to special functions

DOI10.1017/S0305004100056723zbMath0432.35060MaRDI QIDQ3869713

Patrick J. Browne, Sleeman, Brian D.

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

integral equationsspectral theorydifferential operatorsmultiparameter eigenvalue problemtensor product of Hilbert spaces

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Linear differential equations in abstract spaces (34G10) Inner product spaces and their generalizations, Hilbert spaces (46C99) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Multiparameter spectral theory in Hilbert space
• INTEGRAL EQUATIONS FOR ELLIPSOIDAL WAVE FUNCTIONS
• Two-Parameter Eigenvalue Problems in Differential Equations

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