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Isotypic
multiharmonic polynomials and Gelbart–Helgason
reciprocity
Anthony C. Kable |
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Vol. 306 (2020), No. 2, 519–538
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Abstract |
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A result of Gelbart and Helgason that describes the harmonic analysis of the space of functions on certain Stiefel manifolds and a result of Folland that describes the harmonic analysis of the de Rham complex on a sphere are generalized to describe the harmonic analysis of the de Rham complex on certain Stiefel manifolds. Equivalently, the cobranching law from a fundamental representation of an orthogonal group to a larger orthogonal group is determined. |
Keywords
representation, orthogonal group, general linear group,
branching law, cobranching law
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Mathematical Subject Classification 2010
Primary: 20G05
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Milestones
Received: 12 July 2019
Revised: 5 January 2020
Accepted: 8 January 2020
Published: 13 July 2020
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Authors |
| Anthony C. Kable | |
| Department of Mathematics Oklahoma State University Stillwater, OK United States |
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