Elliptic multiparameter eigenvalue problems

DOI10.1017/S0013091500028297zbMath0588.35072OpenAlexW2015888134MaRDI QIDQ3715539

Karim Seddighi, Paul A. Binding

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0013091500028297

zbMATH Keywords

eigenproblemfinite codimensionself-adjoint operatorsbasis X of decomposable tensors

Mathematics Subject Classification ID

Related Items (14)

Finite-dimensional multiparameter spectral theory: The nonderogatory case ⋮ Classification of eigentuples for uniformly elliptic multiparameter problems ⋮ Perturbation and local analysis of uniformly elliptic two-parameter Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ EXPANSIONS IN EIGENFUNCTIONS OF A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS ⋮ Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type ⋮ Spectral decomposition of uniformly elliptic multiparameter eigenvalue problems ⋮ An algebraic approach to multiparameter spectral theory ⋮ Two parameter asymptotic spectra in the uniformly elliptic case ⋮ On commuting compact self-adjoint operators on a Pontryagin space ⋮ Multiparameter Sturm-Liouville problems with eigenparameter dependent boundary conditions ⋮ Root vectors for geometrically simple two-parameter eigenvalues ⋮ On root vectors of self-adjoint pencils ⋮ EIGENFUNCTION EXPANSIONS FOR A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS ⋮ Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• On multiparameter theory
• Double unconditional bases associated with a quadratic characteristic parameter problem
• On the completeness of eigenvectors of right definite multiparameter problems
• A Variational Approach to Multi-Parameter Eigenvalue Problems in Hilbert Space
• Multiparameter definiteness conditions
• Left Definite Multiparameter Eigenvalue Problems
• 11.— A Left Definite Multiparameter Eigenvalue Problem in Ordinary Differential Equations
• Sturm-Liouville operators with an indefinite weight function
• On the spectral theory of operator bundles II

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