The Helgason Fourier transform on noncompact Riemannian symmetric spaces $G/K$ is generalized to the homogeneous vector bundles over the compact dual spaces $U/K$. The scalar theory on $U/K$ was considered by Sherman (the local theory for $U/K$ of arbitrary rank, and the global theory for $U/K$ of rank one). In this paper we extend the local theory of Sherman to arbitrary homogeneous vector bundles on $U/K$.

The Helgason Fourier transform for homogeneous vector bundles over compact Riemannian symmetric spaces--the local theory / Camporesi, Roberto. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 220:(2005), pp. 97-117. [10.1016/j.jfa2004.08.013]

The Helgason Fourier transform for homogeneous vector bundles over compact Riemannian symmetric spaces--the local theory

CAMPORESI, ROBERTO
2005

Abstract

The Helgason Fourier transform on noncompact Riemannian symmetric spaces $G/K$ is generalized to the homogeneous vector bundles over the compact dual spaces $U/K$. The scalar theory on $U/K$ was considered by Sherman (the local theory for $U/K$ of arbitrary rank, and the global theory for $U/K$ of rank one). In this paper we extend the local theory of Sherman to arbitrary homogeneous vector bundles on $U/K$.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1398370
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