Add to ORKGAbstract The Segal-Bargmann transform is applied to characterization for symbols of white noise operators. Ageneral formulation of an initial value problem for white noise operators is given and unique existence of asolution is proved by means of symbols. Regularity properties of the solution is discussed by introducing Fock spaces interpolating the space of white noise distributions and the original Boson Fock space
AbstractIt is shown that the second quantization Γ(K) for a continuous linear operator K on a certai...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
General structures of Poissonian white noise analysis are presented.Simultaneously, the theory is de...
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This a...
AbstractEmploying the Segal–Bargmann transform (S-transform for abbreviation) of regular Lévy white ...
AbstractBy using a method of truncation, we derive the closed form of the Segal–Bargmann transform o...
Kondratiev Y, Lytvynov EW. Operators of Gamma white noise calculus. INFINITE DIMENSIONAL ANALYSIS QU...
Abstract. White noise distribution theory over the complex Gauss-ian space is established on the bas...
AbstractLet S′ be the space of tempered distributions on R and Λ the Lévy noise measure on S′. In th...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise t...
Abstract. We define and study the Fock spaces associated with singular partial differential operator...
AbstractIt is shown that the space (J) of test white noise functionals has an analytic version A∞ wh...
. In this paper we introduce a new approach to the study of filtering theory by allowing the system'...
We describe the "no-go" theorems recently obtained by Accardi-Boukas-Franz in [\cite{1}] for the Bo...
Let μg and μp denote the Gaussian and Poisson measures on ℝ, respectively. We show that there exists...
AbstractIt is shown that the second quantization Γ(K) for a continuous linear operator K on a certai...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
General structures of Poissonian white noise analysis are presented.Simultaneously, the theory is de...
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This a...
AbstractEmploying the Segal–Bargmann transform (S-transform for abbreviation) of regular Lévy white ...
AbstractBy using a method of truncation, we derive the closed form of the Segal–Bargmann transform o...
Kondratiev Y, Lytvynov EW. Operators of Gamma white noise calculus. INFINITE DIMENSIONAL ANALYSIS QU...
Abstract. White noise distribution theory over the complex Gauss-ian space is established on the bas...
AbstractLet S′ be the space of tempered distributions on R and Λ the Lévy noise measure on S′. In th...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise t...
Abstract. We define and study the Fock spaces associated with singular partial differential operator...
AbstractIt is shown that the space (J) of test white noise functionals has an analytic version A∞ wh...
. In this paper we introduce a new approach to the study of filtering theory by allowing the system'...
We describe the "no-go" theorems recently obtained by Accardi-Boukas-Franz in [\cite{1}] for the Bo...
Let μg and μp denote the Gaussian and Poisson measures on ℝ, respectively. We show that there exists...
AbstractIt is shown that the second quantization Γ(K) for a continuous linear operator K on a certai...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
General structures of Poissonian white noise analysis are presented.Simultaneously, the theory is de...