内容

目次

Hilbert Spaces - Bounded Linear Operators on a Hilbert Space - UnboundedLinear Operators on a Hilbert Space - Regular Linear Hamiltonian Systems -Atkinson's Theory for Singular Hamiltonian Systems of Even Dimensions - TheNiessen Approach to Singular Hamiltonian Systems - Hinton and Shaw'sExtension of Weyl's M(I) Theory to Systems - Hinton and Shaw's Extension withTwo Singular Points - The M(I) Surface - The Spectral Resolution for LinearHamiltonian Systems with One Singular Point - The Spectral Resolution forLinear Hamiltonian Systems with Two Singular Points - Distributions -Orthogonal Polynomials - Orthogonal Polynomials Satisfying Second OrderDifferential Equations - Orthogonal Polynomials Satisfying Fourth OrderDifferential Equations - Orthogonal Polynomials Satisfying Sixth OrderDifferential Equations - Orthogonal Polynomials Satisfying Higher OrderDifferential Equations - Differential Operators in Sobolev Spaces - Examplesof Sobolev Differential Operators - The Legendre-Type Polynomials and theLaguerre-Type Polynomials in a Sobolev Space