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Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups

Ørsted, Bent et al · Heldermann Verlag · 2025

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Author / responsible party
Ørsted, Bent et al
Publisher
Heldermann Verlag
Year
2025
ISSN
0949-5932
ISSN
0949-5932
Language
English

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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 this paper, we continue our study of the branching laws for Discrete Series when restricted to a subgroup H of the same type by use of integral and differential operators in combination with our previous duality principle. Many results are presented in generality, others are shown in detail for Holomorphic Discrete Series. Fil: Ørsted, Bent. University Aarhus; Dinamarca Fil: Vargas, Jorge Antonio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina

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APA 7

Ørsted, B. E. A. (2025). Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups. http://hdl.handle.net/11336/287185

MLA

Ørsted, Bent et al. "Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups." 2025. http://hdl.handle.net/11336/287185.

Chicago

Ørsted, Bent et al. 2025. "Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups.". http://hdl.handle.net/11336/287185.

Harvard

Ørsted, B. E. A. 2025, Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups, Heldermann Verlag, available at: http://hdl.handle.net/11336/287185 [Accessed 10 Aug. 2026].

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Title
Discrete Series Representations Decomposing Discretely with Finite Multiplicity under Restriction to Symmetric Subgroups
Author / contributors
Ørsted, Bent et al
Publisher
Heldermann Verlag
Publication year
2025
ISSN
0949-5932
ISSN
0949-5932
Language
English

Subjects

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INTERTWINING OPERATORS; ADMISSIBLE RESTRICTION; DUALITY THEOREM; REPRODUCING KERNEL; https://purl.org/becyt/ford/1.1; https://purl.org/becyt/ford/1
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