An integral formula forL2-eigenfunctions of a fourth-order Bessel-type differential operator

DOI10.1080/10652469.2010.533270zbMath1229.34129arXiv1003.2699OpenAlexW3104321179MaRDI QIDQ3092994

Toshiyuki Kobayashi, Jan Möllers

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2699

zbMATH Keywords

Laguerre polynomialsBessel functionsminimal representationsfourth-order differential equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Integral transforms of special functions (44A20)

Related Items (1)

Minimal representations via Bessel operators

Cites Work

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• Analysis on the minimal representation of \(O(p,q)\). I: Realization via conformal geometry.
• Integral formula of the unitary inversion operator for the minimal representation of \(\text{O}(p,q)\)

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