Abstract
This chapter, following [72, 73], introduces and investigates CS systems for certain discrete series of representations of noncompact Lie groups, namely, for groups of motion for complex homogeneous symmetric bounded domains. The CS systems considered are parametrized by the domain points; they are expressed in terms of the Bergmann kernel for this domain. Recall the simplest case, the SU(1, 1) group, considered in Chap. 5.
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© 1986 Springer-Verlag Berlin Heidelberg
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Perelomov, A. (1986). Discrete Series of Representations: The General Case. In: Generalized Coherent States and Their Applications. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61629-7_13
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DOI: https://doi.org/10.1007/978-3-642-61629-7_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64891-5
Online ISBN: 978-3-642-61629-7
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