A Bochner type theorem for inductive limits of Gelfand pairs
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Publication:939591
DOI10.5802/aif.2392zbMath1154.22015arXivmath/0701501OpenAlexW2952884161MaRDI QIDQ939591
Publication date: 26 August 2008
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0701501
von Neumann algebrainductive limitGelfand pairBochner-Godement theoremfunction of positive typespherical pair
Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35)
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Cites Work
- Harmonic analysis on the infinite symmetric group
- Positive definite class functions on a topological group and characters of factor representations
- Représentations factorielles de type \(II_1\) de \(U(\infty)\)
- The problem of harmonic analysis on the infinite-dimensional unitary group.
- Über positiv-definite Klassenfunktionen abzählbarer Gruppen
- Die unzerlegbaren, positiv-definiten Klassenfunktionen der abzählbar unendlichen, symmetrischen Gruppe
- Lectures on Fourier Integrals. (AM-42)
- Les Fonctions De Type Positif et la Theorie Des Groupes
- Lectures on Choquet's theorem
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