Representations of the group of smooth mappings of a manifold X into a compact Lie group
I. M. Gelfand, M. I. Graev, A. M. Verťik (1977)
Compositio Mathematica
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I. M. Gelfand, M. I. Graev, A. M. Verťik (1977)
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Nolan R. Wallach (1987)
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W. Mlak (1970)
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Jan Niechwiej (1984)
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Jean Marion (1989)
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Ilona Królak (1998)
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Classical Bargmann’s representation is given by operators acting on the space of holomorphic functions with scalar product . We consider the problem of representing the functional F as a measure. We prove the existence of such a measure for q > 1 and investigate some of its properties like uniqueness and radiality.
K. Urbanik (1960)
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R. Jajte (1977)
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John Crawford (1977)
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