Multiparameter root vectors

DOI10.1017/S0013091500006866zbMath0633.47009MaRDI QIDQ3771084

Paul A. Binding

Publication date: 1989

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

zbMATH Keywords

root vectorsroot subspacesuniformly ellipticmultiparameter eigenvalue problemscompleteness of the decomposable tensors

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (10)

On eigencurves of elliptic boundary value problems ⋮ Finite-dimensional multiparameter spectral theory: The nonderogatory case ⋮ Two parameter eigenvalue problems for matrices ⋮ Classification of eigentuples for uniformly elliptic multiparameter problems ⋮ A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system ⋮ 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 ⋮ Root vectors for geometrically simple two-parameter eigenvalues ⋮ Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems

Cites Work

• Unnamed Item
• Solvability of a linear operator system
• On root vectors of self-adjoint pencils
• Multiparameter definiteness conditions
• Left Definite Multiparameter Eigenvalue Problems
• 11.— A Left Definite Multiparameter Eigenvalue Problem in Ordinary Differential Equations
• Multiparameter spectral theory

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