The Bochner measure and holomorphic extension of elementary spherical functions
Bernhard Kroetz, Ray Kunze, Robert J. Stanton
TL;DR
This paper determines the Bochner measure for spherical functions on rank-one semi-simple Lie groups, contributing to the understanding of their harmonic analysis and holomorphic extensions.
Contribution
It provides the explicit form of the Bochner measure for elementary spherical functions on rank-one semi-simple Lie groups.
Findings
Explicit Bochner measure derived for spherical functions
Enhanced understanding of holomorphic extensions of spherical functions
Advances in harmonic analysis on semi-simple Lie groups
Abstract
In this paper we determine the Bochner measure for spherical functions on a semi-simple Lie group of rank one.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Advanced Differential Geometry Research