Hilbert Space, Boundary Value Problems and Orthogonal Polynomials (Operator Theory: Advances and Applications)

Krall, Allan M.

ISBN 10: 3764367016 / ISBN 13: 9783764367015

Verlag: Birkhäuser Basel, 2002

Beschreibung

In.

Bestandsnummer des Verkäufers ria9783764367015_new

Bibliografische Details

• Titel: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials (Operator Theory: Advances and Applications)
• Verlag: Birkhäuser Basel
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3764367016
• ISBN-13: 9783764367015
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

1.- I Hilbert Spaces.- II Bounded Linear Operators on a Hilbert Space.- III Unbounded Linear Operators on a Hilbert Space.- 2.- IV Regular Linear Hamiltonian Systems.- V Atkinson's Theory for Singular Hamiltonian Systems of Even Dimension.- VI The Niessen Approach to Singular Hamiltonian Systems.- VII Hinton and Shaw's Extension of Weyl's M(?) Theory to Systems.- VIII Hinton and Shaw's Extension with Two Singular Points.- IX The M (?) Surface.- X The Spectral Resolution for Linear Hamiltonian Systems with One Singular Point.- XI The Spectral Resolution for Linear Hamiltonian Systems with Two Singular Points.- XII Distributions.- 3.- XIII Orthogonal Polynomials.- XIV Orthogonal Polynomials Satisfying Second Order Differential Equations.- XV Orthogonal Polynomials Satisfying Fourth Order Differential Equations.- XVI Orthogonal Polynomials Satisfying Sixth Order Differential Equations.- XVII Orthogonal Polynomials Satisfying Higher Order Differential Equations.- XVIII Differential Operators in Sobolev Spaces.- XIX Examples of Sobolev Differential Operators.- XX The Legendre-Type Polynomials and the Laguerre-Type Polynomials in a Sobolev Spaces.- Closing Remarks.

Reseña del editor

This monograph consists of three parts: - the abstract theory of Hilbert spaces, leading up to the spectral theory of unbounded self-adjoined operators; - the application to linear Hamiltonian systems, giving the details of the spectral resolution; - further applications such as to orthogonal polynomials and Sobolev differential operators. Written in textbook style this up-to-date volume is geared towards graduate and postgraduate students and researchers interested in boundary value problems of linear differential equations or in orthogonal polynomials.