An infinite product with bounded partial quotients
J. Allouche, M. Mendès France, A. van der Poorten (1991)
Acta Arithmetica
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J. Allouche, M. Mendès France, A. van der Poorten (1991)
Acta Arithmetica
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Donald Rideout (1973)
Acta Arithmetica
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J. Wolfskill (1989)
Acta Arithmetica
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Alfred J. Van der Poorten (2002)
Journal de théorie des nombres de Bordeaux
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Michel Mendès France's “Folding Lemma” for continued fraction expansions provides an unusual explanation for the well known symmetry in the expansion of a quadratic irrational integer.
Norman Richert (1990)
Acta Arithmetica
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Cor Kraaikamp (1991)
Acta Arithmetica
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Erdös, P. (1949)
Portugaliae mathematica
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Shen-Chi Tang (1965)
Collectanea Mathematica
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Joachim Hilgert (1989)
Annales de l'institut Fourier
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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.