SELF-ADJOINTNESS FOR THE WEYL PROBLEM UNDER AN ENERGY NORM

DOI10.1080/16073606.1995.9631812zbMath0841.34025OpenAlexW2022897489MaRDI QIDQ4863771

David Race, Allan M. Krall

Publication date: 21 July 1996

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1995.9631812

zbMATH Keywords

Sturm-Liouville problemWeyl theoryleft-definiteright-definite

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (5)

A general left-definite theory for certain self-adjoint operators with applications to differential equations ⋮ Left-definite Hamiltonian systems and corresponding nested circles ⋮ Singular left-definite Hamiltonian systems in the Sobolev space ⋮ Singular Dirac systems in the Sobolev space ⋮ Spectral Analysis for the Generalized Hermite Polynomials

Cites Work

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• Jacobi polynomial expansions
• Some remarks about the limit point and limit circle theory
• Complementary remarks about the limit point and limit circle theory
• REGULAR LEFT DEFINITE BOUNDARY VALUE PROBLEMS OF EVEN ORDER
• Differential Operators and the Laguerre Type Polynomials
• On the m -Coefficient of Weyl for a Differential Equation with an Indefinite Weight Function
• THE LEGENDRE POLYNOMIALS UNDER A LEFT DEFINITE ENERGY NORM
• Linksdefinite singuläre kanonische Eigenwertprobleme. II.

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