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This article is available for purchase or by subscription. See below.
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.
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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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