Berezin kernels and maximal degenerate representations associated with riemannian symmetric spaces of hermitian type

Author:

Dijk G.,Pevzner M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference20 articles.

1. F. A. Berezin, “Connection between co-and contravariant symbols of operators on the classical complex symmetric spaces”, Dokl. Akad. Nauk USSR, 241, 15-17 (1978).

2. F. A. Berezin and F. I. Karpelevic, “Zonal spherical functions and Laplace operators on some symmetric spaces”, Dokl. Akad. Nauk USSR, 118, 9-12 (1958).

3. G. van Dijk and S. C. Hille, “Maximal degenerate representations, Berezin kernels and canonical representations”, Lie Groups and Lie algebras, Kluwer Acad. Publ., Dordrecht (1998), pp. 285-298.

4. G. van Dijk and V. F. Molchanov, “Tensor products of maximal degenerate series representations of the group SL(n;ℝ)”, J. Math. Pures Appl., 78, 99-119 (1999).

5. G. van Dijk and M. Pevzner, “Berezin Kernels on Tube Domains”, J. Funct. Anal., 181, No. 2, 189-208 (2001).

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