An integral formula for $L^2$-eigenfunctions of a fourth-order Bessel-type differential operator

Toshiyuki Kobayashi; Jan Möllers

doi:10.1080/10652469.2010.533270

An integral formula for $L^2$-eigenfunctions of a fourth-order Bessel-type differential operator

Toshiyuki Kobayashi, Jan Möllers

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

2 Citations (Scopus)

Abstract

We find an explicit integral formula for the eigenfunctions of a fourth-order differential operator against the kernel involving two Bessel functions. Our formula establishes the relation between K-types in two different realizations of the minimal representation of the indefinite orthogonal group, namely the L 2-model and the conformal model.

Original language	English
Journal	Integral Transforms and Special Functions
Volume	22
Issue	7
Pages (from-to)	521-531
Number of pages	11
ISSN	1065-2469
DOIs	https://doi.org/10.1080/10652469.2010.533270
Publication status	Published - 2011
Externally published	Yes

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title = "An integral formula for $L^2$-eigenfunctions of a fourth-order Bessel-type differential operator",

abstract = "We find an explicit integral formula for the eigenfunctions of a fourth-order differential operator against the kernel involving two Bessel functions. Our formula establishes the relation between K-types in two different realizations of the minimal representation of the indefinite orthogonal group, namely the L 2-model and the conformal model.",

author = "Toshiyuki Kobayashi and Jan M{\"o}llers",

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doi = "10.1080/10652469.2010.533270",

language = "English",

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T1 - An integral formula for $L^2$-eigenfunctions of a fourth-order Bessel-type differential operator

AU - Kobayashi, Toshiyuki

AU - Möllers, Jan

PY - 2011

Y1 - 2011

N2 - We find an explicit integral formula for the eigenfunctions of a fourth-order differential operator against the kernel involving two Bessel functions. Our formula establishes the relation between K-types in two different realizations of the minimal representation of the indefinite orthogonal group, namely the L 2-model and the conformal model.

AB - We find an explicit integral formula for the eigenfunctions of a fourth-order differential operator against the kernel involving two Bessel functions. Our formula establishes the relation between K-types in two different realizations of the minimal representation of the indefinite orthogonal group, namely the L 2-model and the conformal model.

U2 - 10.1080/10652469.2010.533270

DO - 10.1080/10652469.2010.533270

M3 - Journal article

SN - 1065-2469

VL - 22

SP - 521

EP - 531

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 7

ER -

An integral formula for $L^2$-eigenfunctions of a fourth-order Bessel-type differential operator

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