Stratonovich-Weyl correspondence for the Jacobi group

Benjamin Cahen

Displaying similar documents to “Stratonovich-Weyl correspondence for the Jacobi group”

Multiplicities of compact lie group representations via Berezin quantization

Benjamin Cahen (2008)

Matematički Vesnik

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Stratonovich-Weyl correspondence for discrete series representations

Benjamin Cahen (2011)

Archivum Mathematicum

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Let $M = G / K$ be a Hermitian symmetric space of the noncompact type and let $π$ be a discrete series representation of $G$ holomorphically induced from a unitary character of $K$ . Following an idea of Figueroa, Gracia-Bondìa and Vàrilly, we construct a Stratonovich-Weyl correspondence for the triple $(G, π, M)$ by a suitable modification of the Berezin calculus on $M$ . We extend the corresponding Berezin transform to a class of functions on $M$ which contains the Berezin symbol of $d π (X)$ for $X$ in the Lie algebra $𝔤$ of...