Spectral Analysis for the Generalized Hermite Polynomials

DOI10.2307/2154712zbMath0859.33009OpenAlexW4237986026MaRDI QIDQ4305924

Allan M. Krall

Publication date: 7 April 1997

Full work available at URL: https://doi.org/10.2307/2154712

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacobi polynomial expansions
• \(H^ 1\) Bessel expansions
• Orthogonal polynomials and singular Sturm-Liouville systems. I
• Laguerre polynomial expansions
• REGULAR LEFT DEFINITE BOUNDARY VALUE PROBLEMS OF EVEN ORDER
• SELF-ADJOINTNESS FOR THE WEYL PROBLEM UNDER AN ENERGY NORM

This page was built for publication: Spectral Analysis for the Generalized Hermite Polynomials