Add to ORKGAbstract. White noise distribution theory over the complex Gauss-ian space is established on the basis of the recently developed white noise operator theory. Unitarity condition for a white noise op-erator is discussed by means of the operator symbol and complex Gaussian integration. Concerning the overcompleteness of the ex-ponential vectors, a coherent state representation of a white noise function is uniquely specified from the diagonal coherent state rep-resentation of the associated multiplication operator
AbstractWe unify techniques of Poissonian white noise analysis and harmonic analysis on configuratio...
We use a white noise approach to Malliavin calculus to prove the following white noise generalizatio...
The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimension...
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This a...
We prove the stochastic independence of the basic integrators of the renormalized square of white no...
AbstractIt is shown that the second quantization Γ(K) for a continuous linear operator K on a certai...
The formal unitarity conditions for stochastic equations driven by the renormalized square of whit...
During the last decade the white noise calculus, launched out by T. Hida [8] in 1975, has developed ...
Abstract The Segal-Bargmann transform is applied to characterization for symbols of white noise oper...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise t...
Kondratiev Y, Lytvynov EW. Operators of Gamma white noise calculus. INFINITE DIMENSIONAL ANALYSIS QU...
The attached document may provide the author's accepted version of a published work. See Citati...
We present a description of the framework of white noise analysis as an innite-dimensional distribut...
It has been often said that white noise calculus is founded on an infinite dimensional analogue of S...
The mathematical background necessary to rigorously define white noise is detailed. It is shown that...
AbstractWe unify techniques of Poissonian white noise analysis and harmonic analysis on configuratio...
We use a white noise approach to Malliavin calculus to prove the following white noise generalizatio...
The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimension...
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This a...
We prove the stochastic independence of the basic integrators of the renormalized square of white no...
AbstractIt is shown that the second quantization Γ(K) for a continuous linear operator K on a certai...
The formal unitarity conditions for stochastic equations driven by the renormalized square of whit...
During the last decade the white noise calculus, launched out by T. Hida [8] in 1975, has developed ...
Abstract The Segal-Bargmann transform is applied to characterization for symbols of white noise oper...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise t...
Kondratiev Y, Lytvynov EW. Operators of Gamma white noise calculus. INFINITE DIMENSIONAL ANALYSIS QU...
The attached document may provide the author's accepted version of a published work. See Citati...
We present a description of the framework of white noise analysis as an innite-dimensional distribut...
It has been often said that white noise calculus is founded on an infinite dimensional analogue of S...
The mathematical background necessary to rigorously define white noise is detailed. It is shown that...
AbstractWe unify techniques of Poissonian white noise analysis and harmonic analysis on configuratio...
We use a white noise approach to Malliavin calculus to prove the following white noise generalizatio...
The white noise analysis, initiated by Hida [3] in 1975, has been developed to an infinite dimension...