Multiparameter spectral theory

DOI10.1090/S0002-9904-1968-11866-XzbMath0191.42402MaRDI QIDQ5585707

F. V. Atkinson

Publication date: 1968

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (40)

On Sturm-Liouville equations with several spectral parameters ⋮ The Cayley--Hamilton theorem and inverse problems for multiparameter systems. ⋮ Eigencircles and associated surfaces ⋮ Fixed point theorems of Krasnosel'skii type in locally convex spaces and applications to integral equations ⋮ Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations ⋮ Finite-dimensional multiparameter spectral theory: The nonderogatory case ⋮ Distribution of Eigenvalues of A Two-Parameter System of Differential Equations ⋮ A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system ⋮ Continuum limit of the Volterra model, separation of variables and non-standard realizations of the Virasoro Poisson bracket ⋮ On a problem of R. G. D. Richardson ⋮ Asymptotic behaviour of the non-real pair-eigenvalues of a two parameter eigenvalue problem ⋮ Comparison cones for multiparameter eigenvalue problems ⋮ Multiparameter root vectors ⋮ Nonlinear three-point boundary value problems ⋮ Non-linear multiparameter eigenvalue problems for ordinary differential equations ⋮ Singular Hamiltonian system with several spectral parameters ⋮ Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. ⋮ Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type ⋮ An algebraic approach to multiparameter spectral theory ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ A two-parameter spectral theorem ⋮ On the quadratic two-parameter eigenvalue problem and its linearization ⋮ Numerical approximation of eigenvalues of Sturm-Liouville systems ⋮ A two-parameter eigenvalue problem involving complex potentials ⋮ A completeness theorem for a nonlinear multiparameter eigenvalue problem ⋮ Structured Eigenvalue Problems ⋮ Abstract multiparameter theory. I ⋮ Bifurcation from simple eigenvalues for several parameter families ⋮ A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem ⋮ Coupled operator systems and multiparameter spectral theory ⋮ A two-parameter boundary problem for second order differential system ⋮ Positivity results for determinantal operators ⋮ Meromorphie in der Theorie der Fredholmoperatoren mit Anwendungen auf elliptische Differentialoperatoren ⋮ On holomorphic operator-functions of several complex variables ⋮ Singular multiparameter dynamic equations with distributional potentials on time scales ⋮ Numerical study of three-parameter matrix eigenvalue problem by Rayleigh quotient method ⋮ On the Bethe ansatz for the Jaynes–Cummings–Gaudin model ⋮ Operator equations and nonlinear eigenparameter problems ⋮ Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems ⋮ Constructive solutions for nonlinear multiparameter eigenvalue problems

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