The Plancherel transform on SL//2(k) and its application to the decomposition of tensor products of irreducible representations

DOI10.1215/kjm/1250521728zbMath0509.22014OpenAlexW1574767800MaRDI QIDQ1838593

Masao Tsuchikawa

Publication date: 1982

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250521728

zbMATH Keywords

Plancherel formulatensor productsunitary representationsnon-archimedean fielddiscrete seriesprincipal seriessupplementary seriesodd residual characteristicsupercuspidal series

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (4)

Boundary values of holomorphic functions, singular unitary representations of \(O(p,q)\), and their limits as \(q\to\infty\) ⋮ Tensor products as induced representations: the case of finite \(\mathrm{GL}(3)\). ⋮ Harmonic analysis on reductive Lie groups ⋮ Unitary representations of the diffeomorphism group of the p-adic projective line

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