Author | Krall, Allan M. author |
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Title | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials [electronic resource] / by Allan M. Krall |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2002 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8155-5 |
Descript | XIV, 354 p. online resource |
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 Atkinsonโs Theory for Singular Hamiltonian Systems of Even Dimension -- VI The Niessen Approach to Singular Hamiltonian Systems -- VII Hinton and Shawโs Extension of Weylโs M(?) Theory to Systems -- VIII Hinton and Shawโs 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