Laguerre polynomial expansions in indefinite inner product spaces

DOI10.1016/0022-247X(79)90090-8zbMath0416.46012MaRDI QIDQ754437

Allan M. Krall

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

expansionsindefinite inner product spacesspectral resolutionLaguerre polynomial expansionsLaguerre differential operator

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items

SPECTRAL ANALYSIS OF BESSEL POLYNOMIALS IN KREIN SPACE, Laguerre polynomial expansions, The Sobolev orthogonality and spectral analysis of the Laguerre polynomials \(\{L_{n}^{-k}\}\) for positive integers \(k\), On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below, Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints, On boundary values for the Laguerre operator in indefinite inner product spaces, Darboux transformation of the Laguerre operator, Extensions of Laguerre operators in indefinite inner product spaces, Laguerre type polynomials under an indefinite inner product, Jacobi-type polynomials under an indefinite inner product

Cites Work

• Orthogonal polynomials in two variables
• Distributional Weight Functions for Orthogonal Polynomials
• On some generalisations of Laguerre polynomials
• On some generalisations of Laguerre polynomials
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