An infinite product with bounded partial quotients
J. Allouche, M. Mendès France, A. van der Poorten (1991)
Acta Arithmetica
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An infinite product with bounded partial quotients
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Analytic extensions of the metaplectic representation by integral operators of Gaussian type have been calculated in the and the Bargmann-Fock realisations by Howe [How2] and Brunet-Kramer [Brunet-Kramer, Reports on Math. Phys., 17 (1980), 205-215]], respectively. In this paper we show that the resulting semigroups of operators are isomorphic and calculate the intertwining operator.