Functional analysis on SU(1,1)

DOI10.1016/0001-8708(74)90037-1zbMath0293.43010OpenAlexW2024715553MaRDI QIDQ1212222

Kenneth D. Johnson

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(74)90037-1

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items

Paley-Wiener theorems on groups of split rank one, Harmonic analysis on reductive Lie groups, Differential equations and an analog of the Paley-Wiener theorem for linear semisimple Lie groups, Determination of the Harish-Chandra \(C\)-function for \(SU(n, 1)\) and its application to the construction of the composition series

Cites Work

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• Some properties of the Fourier transform on semi-simple Lie groups. I
• The surjectivity of invariant differential operators on symmetric spaces. I
• An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces
• Intertwining operators and the representations of \(SL(2,R)\)
• A duality for symmetric spaces with applications to group representations
• On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
• Intertwining operators for semisimple groups
• Spherical Functions on a Semisimple Lie Group, I
• Uniformly Bounded Representations III: Intertwining Operators for the Principal Series on Semisimple Groups
• Intégrales d'entrelacement et fonctions de Whittaker