ISSN:
1572-9036
Keywords:
Lie group
;
group representation
;
homogeneous vector bundle
;
harmonic analysis
;
classical domain
;
Poisson kernel
;
Cauchy kernel
;
eigenfunctions of Laplacian operator
;
boudary theory
;
eigenfunctions of invariant differential operators
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper we investigate the vector bundle-valued Cauchy and Poisson kernel functions. We compute explicitly matrix-valued eigenfunctions of an invariant differential operator on the classical domain of Type I. Furthermore, a special choice of a vector bundle gives us a matrix-valued Cauchy and Poisson kernel function which satisfies the matrix-valued Laplacian operator on the classical domain of Type I.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1010741717802
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