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  • 1
    Electronic Resource
    Electronic Resource
    Vector Bundle-Valued Poisson and Cauchy Kernel Functions on Classical Domains (2000)
    Springer
    Acta applicandae mathematicae 63 (2000), S. 323-332 
    Details
    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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