Stratonovich-Weyl correspondence for the Jacobi group
Benjamin Cahen (2014)
Communications in Mathematics
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We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
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Benjamin Cahen (2014)
Communications in Mathematics
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We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Benjamin Cahen (2011)
Archivum Mathematicum
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Let be a Hermitian symmetric space of the noncompact type and let be a discrete series representation of holomorphically induced from a unitary character of . Following an idea of Figueroa, Gracia-Bondìa and Vàrilly, we construct a Stratonovich-Weyl correspondence for the triple by a suitable modification of the Berezin calculus on . We extend the corresponding Berezin transform to a class of functions on which contains the Berezin symbol of for in the Lie algebra of...
Do Ngoc Diep, Nguyen Viet Hai (2001)
Beiträge zur Algebra und Geometrie
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Bar-Moshe, David (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Mitsuo Morimoto, Keiko Fujita (1996)
Banach Center Publications
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Let L(z) be the Lie norm on and L*(z) the dual Lie norm. We denote by the space of complex harmonic functions on the open Lie ball and by the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.
Cahen, Benjamin (2007)
Beiträge zur Algebra und Geometrie
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Matvijchuk, K.S. (2000)
Siberian Mathematical Journal
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