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Abstract
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Let
be a spinor
representation of
and let
be a spinor
representation of
that
occurs in the restriction
.
We consider the real hyperbolic space
as the rank one
symmetric space
and
the spinor bundle
over
as the
homogeneous bundle
.
In this paper we characterize eigenspinors of the algebra of invariant differential operators
acting on
which can be written as the Poisson transform of
-sections of the
bundle
over
the boundary
of
, for
.
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Keywords
Poisson transform, real hyperbolic space, Spin
representation, Spinor bundle
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Mathematical Subject Classification
Primary: 15A66, 43A85, 22E30
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Milestones
Received: 6 December 2022
Revised: 22 July 2023
Accepted: 7 August 2023
Published: 21 November 2023
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Publishers). |
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