Knapp-Wallach Szegö integrals and generalized principal series representations: The parabolic rank one case

DOI10.1016/0022-1236(85)90048-5zbMath0576.22015OpenAlexW2068155978MaRDI QIDQ1065169

Brian E. Blank

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90048-5

zbMATH Keywords

discrete series representationconnected semisimple Lie groupmaximal parabolicSzegö integral

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Analysis on other specific Lie groups (43A80)

Related Items (6)

Boundary cohomology of Shimura varieties. I. Coherent cohomology on toroidal compactifications ⋮ Gradient-type differential operators and unitary highest weight representations of SU(p,q) ⋮ The Fourier expansion of modular forms on quaternionic exceptional groups ⋮ Boundary value maps, Szegö maps and intertwining operators ⋮ Covariant differential operators ⋮ Intertwining operators and unitary representations. I

Cites Work

• Classification of irreducible tempered representations of semisimple groups. I
• Boundary behavior of limits of discrete series representations of real rank one semisimple groups
• Correction and addition to Szegö kernels associated with discrete series
• Harmonic analysis on real reductive groups. I: The theory of the constant term
• On the characters of the discrete series. The Hermitian symmetric case
• Szegoe kernels associated with discrete series
• Some properties of squareintegrable representations of semisimple Lie groups
• Harmonic analysis on real reductive groups
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Induced representation of locally compact groups. I
• Knapp-Wallach Szego Integrals. II. The Higher Parabolic Rank Case
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS
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