2 citations · 4 across the 7 of their papers we have counts for
10 papers
A Differential Characterization of the Metaplectic Kernel
Benjamin Cahen
We present a derivation of the integral kernel of a metaplectic representation operator in the Bargmann-Fock model based solely on its defining intertwining property with the Heise…
Complex Weyl correspondence for a generalized diamond group
Benjamin Cahen
The generalized diamond group is the semi-direct product of the abelian group by the -dimensional Heisenberg group . We construct the generic repre…
Complex Weyl symbols of metaplectic operators: an elementary approach
Benjamin Cahen
We give explicit formulas for the Berezin symbols and the complex Weyl symbols of the metaplectic representation operators by using the holomorphic representations of the Jacobi gr…
Weyl calculus on the Fock space and Stratonovich-Weyl correspondence for Heisenberg motion groups
Benjamin Cahen
We construct a Stratonovich-Weyl correspondence for each generic representation of a Heisenberg motion group by using the Weyl calculus on the Fock space.
Berezin symbols and spectral measures of representation operators
Benjamin Cahen
Let be a Lie group with Lie algebra and let be a unitary representation of realized on a reproducing kernel Hilbert space. We use Berezin quantization to…
A construction by deformation of unitary irreducible representations of and
Benjamin Cahen
We recover the holomorphic discrete series representations of as well as some unitary irreducible representations of by deformation of a minimal realization of…
Schrödinger model and Stratonovich-Weyl correspondence for Heisenberg motion groups
Benjamin Cahen
We introduce a Schrödinger model for the unitary irreducible representations of a Heisenberg motion group and we show that the usual Weyl quantization then provides a Stratonovich-…
Berezin symbols on Lie groups
Ingrid Beltita, Daniel Beltita, Benjamin Cahen
In this paper we present a general framework for Berezin covariant symbols, and we discuss a few basic properties of the corresponding symbol map, with emphasis on its injectivity…
A contraction of the principal series by Berezin-Weyl quantization
Benjamin Cahen
We study a contraction of the principal series representations of a noncompact semisimple Lie group to the unitary irreducible representations of its Cartan motion group by means o…
Contractions of Lie algebras with 2-dimensional generic coadjoint orbits
Daniel Beltita, Benjamin Cahen
We determine all the contractions within the class of finite-dimensional real Lie algebras whose coadjoint orbits have dimensions .