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- W2949229954 abstract "For a semisimple Lie group G satisfying the equal-rank condition, the most basic family of unitary irreducible representations is the discrete series found by Harish-Chandra. In our work here we study some of the branching laws for discrete series when restricted to a subgroup H of the same type by combining classical results with recent work of Kobayashi; in particular, we prove discrete decomposability under Harish-Chandra’s condition of cusp form on the reproducing kernel. We show a relation between discrete decomposability and representing certain intertwining operators in terms of differential operators." @default.
- W2949229954 created "2019-06-27" @default.
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- W2949229954 creator A5044066157 @default.
- W2949229954 date "2020-12-01" @default.
- W2949229954 modified "2023-09-25" @default.
- W2949229954 title "Branching problems in reproducing kernel spaces" @default.
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- W2949229954 doi "https://doi.org/10.1215/00127094-2020-0032" @default.
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