scientific article

zbMath0449.22019MaRDI QIDQ3895711

Mark I. Graev, Anatoly M. Vershik, Israel M. Gel'fand

Publication date: 1980

Full work available at URL: http://www.numdam.org/item?id=CM_1980__42_2_217_0

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zbMATH Keywords

Fourier transformsRiemannian manifoldgauge groupsmooth functionscompact semi-simple Lie group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Global Riemannian geometry, including pinching (53C20) Other transforms and operators of Fourier type (43A32) Manifolds of mappings (58D15)

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Cites Work

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• A new method for constructing factorisable representations for current groups and current algebras
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• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• REPRESENTATIONS OF THE GROUP SL(2,R), WHERERIS A RING OF FUNCTIONS
• ON UNITARY REPRESENTATIONS OF THE GROUP $ C_0^\infty (X, G)$, $ G = SU_2$

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