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Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials Book

Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials
Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials, 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; - furt, Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials has a rating of 3 stars
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Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials, 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; - furt, Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials
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  • Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials
  • Written by author Allan M. Krall
  • Published by Birkhauser Basel, June 2002
  • 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; - furt
  • 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. This monograph consists of three
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Preface
IHilbert Spaces
IIBounded Linear Operators on a Hilbert Space
IIIUnbounded Linear Operators on a Hilbert Space
IVRegular Linear Hamiltonian Systems
VAtkinson's Theory for Singular Hamiltonian Systems of Even Dimension
VIThe Niessen Approach to Singular Hamiltonian Systems
VIIHinton and Shaw's Extension of Weyl's M([lambda]) Theory to Systems
VIIIHinton and Shaw's Extension with Two Singular Points
IXThe M([lambda]) Surface
XThe Spectral Resolution for Linear Hamiltonian Systems with One Singular Point
XIThe Spectral Resolution for Linear Hamiltonian Systems with Two Singular Points
XIIDistributions
XIIIOrthogonal Polynomials
XIVOrthogonal Polynomials Satisfying Second Order Differential Equations
XVOrthogonal Polynomials Satisfying Fourth Order Differential Equations
XVIOrthogonal Polynomials Satisfying Sixth Order Differential Equations
XVIIOrthogonal Polynomials Satisfying Higher Order Differential Equations
XVIIIDifferential Operators in Sobolev Spaces
XIXExamples of Sobolev Differential Operators
XXThe Legendre-Type Polynomials and the Laguerre-Type Polynomials in a Sobolev Space
Closing Remarks
Index


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Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials, 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; - furt, Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials

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Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials, 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; - furt, Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials

Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials

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Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials, 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; - furt, Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials

Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials

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