In this paper we introduce a quantum white noise (QWN) convolution calculus over a nuclear algebra of operators. We use this calculus to discuss new solutions of some linear and non-linear differential equation
A class of linear stochastic differential equations in Hilbert spaces is studied, which allows to co...
AbstractA class of linear stochastic differential equations in Hilbert spaces is studied, which allo...
We consider the renormalized Ito table for higher powers of white noise and, assuming that there exi...
In this paper we introduce a quantum white noise (QWN) convolution calculus over a nuclear algebra ...
During the last decade the white noise calculus, launched out by T. Hida [8] in 1975, has developed ...
We characterize the dimension of Lie algebras of white noise operators containing the quantum white ...
From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an a...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise t...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
Abstract. In this paper, we study anew class of nuclear algebras of entire functional of exponential...
As a non-commutative extension of the Lévy Laplacian for entire functions on a nuclear space, we de...
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...
HIDA T, Streit L. QUANTUM-THEORY IN TERMS OF WHITE NOISE. NAGOYA MATHEMATICAL JOURNAL. 1977;68(DEC):...
We first study a class of fundamental quantum stochastic processes induced by the generators of a si...
A class of linear stochastic differential equations in Hilbert spaces is studied, which allows to co...
AbstractA class of linear stochastic differential equations in Hilbert spaces is studied, which allo...
We consider the renormalized Ito table for higher powers of white noise and, assuming that there exi...
In this paper we introduce a quantum white noise (QWN) convolution calculus over a nuclear algebra ...
During the last decade the white noise calculus, launched out by T. Hida [8] in 1975, has developed ...
We characterize the dimension of Lie algebras of white noise operators containing the quantum white ...
From the operator algebraic approach to stationary (quantum) Markov processes there has emerged an a...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise t...
Abstract. Let µG and µP be a Gaussian measure and a Poisson measure on E ∗ , respectively. Let at an...
Abstract. In this paper, we study anew class of nuclear algebras of entire functional of exponential...
As a non-commutative extension of the Lévy Laplacian for entire functions on a nuclear space, we de...
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...
HIDA T, Streit L. QUANTUM-THEORY IN TERMS OF WHITE NOISE. NAGOYA MATHEMATICAL JOURNAL. 1977;68(DEC):...
We first study a class of fundamental quantum stochastic processes induced by the generators of a si...
A class of linear stochastic differential equations in Hilbert spaces is studied, which allows to co...
AbstractA class of linear stochastic differential equations in Hilbert spaces is studied, which allo...
We consider the renormalized Ito table for higher powers of white noise and, assuming that there exi...
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