Results 71 to 80 of about 164,359 (189)
Exponential Wiener Index for space vector modulation (SVM)
A topological graph index, often referred to as a molecular descriptor, can be assigned to any graph that represents a certain molecular structure. It is possible to use this index to study numerical data and learn more about certain of a molecule’s ...
Menaga Anbumani +5 more
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A Class of infinite dimensional stochastic Processes with unbounded Diffusion
The paper studies Dirichlet forms on the classical Wiener space and the Wiener space over non-compact complete Riemannian manifolds. The diffusion operator is almost everywhere an unbounded operator on the Cameron--Martin space.
Karlsson, John, Löbus, Jörg-Uwe
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Wick Calculus For Nonlinear Gaussian Functionals
This paper surveys some results on Wick product and Wick renormalization. The framework is the abstract Wiener space. Some known results on Wick product and Wick renormalization in the white noise analysis framework are presented for classical random ...
A. Budhiraja +25 more
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Paley-Wiener-type theorem for polynomial ultradifferentiable functions
The image of the space of ultradifferentiable functions with compact supports under Fourier-Laplace transformation is described. An analogue of Paley-Wiener theorem for polynomial ultradifferentiable functions is proved.
S.V. Sharyn
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Sampling and interpolation in de Branges spaces with doubling phase
The de Branges spaces of entire functions generalise the classical Paley-Wiener space of square summable bandlimited functions. Specifically, the square norm is computed on the real line with respect to weights given by the values of certain entire ...
Marzo, Jordi +2 more
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Boundedness of Certain Hyper Singular Integral Operator Along Surface on Modulation Space
Suppose β_1> α_1> 0,β_2> α_2> 0. In this paper, the hyper singular integral operator defined by■ where Q~2= [0, 1]~2 and γ (t), h(s) satisfy the appropriate conditions. With the oscillatory integral estimation, it is obtained that if β_1> 3α_1> 0 and β_2>
LIU Huihui;TANG Jian
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Stochastic analysis for Poisson processes [PDF]
This survey is a preliminary version of a chapter of the forthcoming book "Stochastic Analysis for Poisson Point Processes: Malliavin Calculus, Wiener-It\^o Chaos Expansions and Stochastic Geometry" edited by Giovanni Peccati and Matthias Reitzner.
Last, Günter
core
Convolution and the Fourier-Wiener Transform on Abstract Wiener Space
\textit{J. Yeh} [Pac. J. Math. 15, 731-738 (1965; Zbl 0128.33702)] calculated the convolution and its Fourier-Wiener transform for certain classes of functionals defined on classical Wiener spaces. In the paper under review, this result is extended to functionals defined on abstract Wiener spaces.
openaire +3 more sources
A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II
We show that for certain bounded cylinder functions of the form F(x)=μˆ((h1,x)∼,...,(hn,x)∼), x∈B where μˆ:ℝn→ℂ is the Fourier-transform of the complex-valued Borel measure μ on ℬ(ℝn), the Borel σ-algebra of ℝn with ‖μ‖
Young Sik Kim
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Analogues of Conditional Wiener Integrals with Drift and Initial Distribution on a Function Space
Let C[0,T] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0,T], and define a stochastic process Z:C[0,T]×[0,T]→R by Z(x,t)=∫0th(u)dx(u)+x(0)+a(t), for x∈C[0,T] and t∈[0,T], where h∈L2[0,T] with h≠0 a.e.
Dong Hyun Cho
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