A Poisson-Plancherel Formula for the Universal Covering Group With Lie Algebra of Type B n

DOI10.2307/2001008zbMath0684.22007OpenAlexW4233041603WikidataQ115229423 ScholiaQ115229423MaRDI QIDQ4734036

Peter Dourmashkin

Publication date: 1989

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001008

zbMATH Keywords

Fourier transformLie algebradiscrete seriessimply connected groupspositive rootsPoisson-Plancherel formulacompactly embedded Cartan subalgebra

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Analysis on other specific Lie groups (43A80)

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La formule de Poisson-Plancherel pour un groupe presque algébrique à radical abélien: Cas où le stabilisateur générique est réductif ⋮ The Plancherel formula for real almost algebraic Lie groups

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