Hilbert Space, Boundary Value Problems and Orthogonal Polynomials
1st Edition
Published on 1. April 2002
Book
Hardback
XIV, 354 pages
978-3-7643-6701-5 (ISBN)
Description
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.
More details
Series
Edition
1., 2002
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Research
Illustrations
XIV, 354 p., 2 s/w Abbildungen
Dimensions
Height: 254 mm
Width: 178 mm
Weight
800 gr
ISBN-13
978-3-7643-6701-5 (9783764367015)
DOI
10.1007/978-3-0348-8155-5
Schweitzer Classification
Other editions
Additional editions
Book
10/2012
Birkhäuser
€85.59
Shipment within 10-15 days
Content
Hilbert Spaces - Bounded Linear Operators on a Hilbert Space - Unbounded Linear Operators on a Hilbert Space - Regular Linear Hamiltonian Systems - Atkinson's Theory for Singular Hamiltonian Systems of Even Dimensions - The Niessen Approach to Singular Hamiltonian Systems - Hinton and Shaw's Extension of Weyl's M(I) Theory to Systems - Hinton and Shaw's Extension with Two Singular Points - The M(I) Surface - The Spectral Resolution for Linear Hamiltonian Systems with One Singular Point - The Spectral Resolution for Linear Hamiltonian Systems with Two Singular Points - Distributions - Orthogonal Polynomials - Orthogonal Polynomials Satisfying Second Order Differential Equations - Orthogonal Polynomials Satisfying Fourth Order Differential Equations - Orthogonal Polynomials Satisfying Sixth Order Differential Equations - Orthogonal Polynomials Satisfying Higher Order Differential Equations - Differential Operators in Sobolev Spaces - Examples of Sobolev Differential Operators - The Legendre-Type Polynomials and the Laguerre-Type Polynomials in a Sobolev Space