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

Kobayashi T, Möllers J (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Integral Transforms and Special Functions Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

Publisher: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

Book Volume: 22

Pages Range: 521-531

Journal Issue: 7

DOI: 10.1080/10652469.2010.533270

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.

Authors with CRIS profile

Jan Frahm Juniorprofessur für Mathematik (Darstellungstheorie und Operatoralgebren)

Involved external institutions

University of Tokyo JP Japan (JP)

How to cite

APA:

Kobayashi, T., & Möllers, J. (2011). An integral formula for L 2-eigenfunctions of a fourth-order Bessel-type differential operator. Integral Transforms and Special Functions, 22(7), 521-531. https://dx.doi.org/10.1080/10652469.2010.533270

MLA:

Kobayashi, Toshiyuki, and Jan Möllers. "An integral formula for L 2-eigenfunctions of a fourth-order Bessel-type differential operator." Integral Transforms and Special Functions 22.7 (2011): 521-531.

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