caa a22 4500 475839439 CHVBK 20180406123857.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010741717802 doi (NATIONALLICENCE)springer-10.1023/A:1010741717802 Vector Bundle-Valued Poisson and Cauchy Kernel Functions on Classical Domains [Elektronische Daten] [K. Okamoto, M. Tsukamoto, K. Yokota] 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. Kluwer Academic Publishers, 2000 Lie group nationallicence group representation nationallicence homogeneous vector bundle nationallicence harmonic analysis nationallicence classical domain nationallicence Poisson kernel nationallicence Cauchy kernel nationallicence eigenfunctions of Laplacian operator nationallicence boudary theory nationallicence eigenfunctions of invariant differential operators nationallicence Okamoto K. Department of Mathematics, Faculty of Science and Technology, Meijo University, Japan aut Tsukamoto M. Department of Mathematics, Faculty of Science and Technology, Meijo University, Japan aut Yokota K. Department of Mathematics, Faculty of Science and Technology, Meijo University, Japan aut Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 323-332 0167-8019 63:1-3<323 2000 63 10440 https://doi.org/10.1023/A:1010741717802 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010741717802 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Okamoto K. Department of Mathematics, Faculty of Science and Technology, Meijo University, Japan aut NATIONALLICENCE 700 1- Tsukamoto M. Department of Mathematics, Faculty of Science and Technology, Meijo University, Japan aut NATIONALLICENCE 700 1- Yokota K. Department of Mathematics, Faculty of Science and Technology, Meijo University, Japan aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 323-332 0167-8019 63:1-3<323 2000 63 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer