Add to ORKGSuppose A is a positive real linear transformation on a nite dimensional complex inner product space V . The reproducing kernel for the Fock space of square integrable holomorphic functions on V relative to the Gaussian measure dA (z) = det A n e RehAz;zi dz is described in terms of the holomorphic{antiholomorphic decomposition of the linear operator A. Moreover, if A commutes with a conjugation on V , then a restriction mapping to the real vectors in V is polarized to obtain a Segal{Bargmann transform, which we also study in the Gaussian-measure setting
ABSTRACT. We study Toeplitz operators on the Fock space with posi-tive measures as symbols. Results ...
Abstract. We show that the Berezin transform associated to the harmonic Fock (Segal-Bargmann) space ...
In this paper, we propose a method to explicitly construct a reproducing kernel Hilbert space (RKHS)...
Suppose A is a positive real linear transformation on a finite dimensional complex inner product spa...
AbstractLet A denote a real linear transformation on Cn which is symmetric and positive-definite rel...
Abstract. We define and study the Fock spaces associated with singular partial differential operator...
We present a new way of obtaining the Bargmann transform between L 2 (R n ) and the Fock space F...
Let μg and μp denote the Gaussian and Poisson measures on ℝ, respectively. We show that there exists...
Abstract. We study the Gaussian Radon transform in the classical Wiener space of Brownian motion. We...
AbstractWe study the Segal–Bargmann transform on a symmetric space X of compact type, mapping L2(X) ...
Many signals can be described as functions on the unit disk (ball). In the framework of group repres...
Matrices of operators with respect to frames are sometimes more natural and easier to compute tha...
Abstract. Matrices of operators with respect to frames are sometimes more natural and easier to comp...
We present an elementary derivation of the reproducing kernel for invariant Fock spaces associated w...
AbstractFor any Hermitian Lie group G of tube type we construct a Fock model of its minimal represen...
ABSTRACT. We study Toeplitz operators on the Fock space with posi-tive measures as symbols. Results ...
Abstract. We show that the Berezin transform associated to the harmonic Fock (Segal-Bargmann) space ...
In this paper, we propose a method to explicitly construct a reproducing kernel Hilbert space (RKHS)...
Suppose A is a positive real linear transformation on a finite dimensional complex inner product spa...
AbstractLet A denote a real linear transformation on Cn which is symmetric and positive-definite rel...
Abstract. We define and study the Fock spaces associated with singular partial differential operator...
We present a new way of obtaining the Bargmann transform between L 2 (R n ) and the Fock space F...
Let μg and μp denote the Gaussian and Poisson measures on ℝ, respectively. We show that there exists...
Abstract. We study the Gaussian Radon transform in the classical Wiener space of Brownian motion. We...
AbstractWe study the Segal–Bargmann transform on a symmetric space X of compact type, mapping L2(X) ...
Many signals can be described as functions on the unit disk (ball). In the framework of group repres...
Matrices of operators with respect to frames are sometimes more natural and easier to compute tha...
Abstract. Matrices of operators with respect to frames are sometimes more natural and easier to comp...
We present an elementary derivation of the reproducing kernel for invariant Fock spaces associated w...
AbstractFor any Hermitian Lie group G of tube type we construct a Fock model of its minimal represen...
ABSTRACT. We study Toeplitz operators on the Fock space with posi-tive measures as symbols. Results ...
Abstract. We show that the Berezin transform associated to the harmonic Fock (Segal-Bargmann) space ...
In this paper, we propose a method to explicitly construct a reproducing kernel Hilbert space (RKHS)...