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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials: v. 133 (Operator Theory: Advances and Applications) - Hardcover

Krall, Allan M.

 
9783764367015: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials: v. 133 (Operator Theory: Advances and Applications)
Hardcover
ISBN 10: 3764367016 ISBN 13: 9783764367015
Verlag: Birkhäuser, 2002

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.

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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.

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Verlag
Birkhäuser
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
3764367016
ISBN 13 
9783764367015
Einband
Tapa dura
Anzahl der Seiten
372
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9783034894593: Hilbert Space, Boundary Value Problems and Orthogonal Polynomials: Advances And Applications) (Operator Theory: Advances and Applications, Band 133)

Vorgestellte Ausgabe

ISBN 10:  3034894597 ISBN 13:  9783034894593
Verlag: Birkhäuser, 2012
Softcover