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Wick and Anti-Wick Characterizations of Linear Operators on Spaces of Power Series Expansions
We study links between Wick, anti-Wick and analytic kernel operators on the Bargmann transform side. We consider classes of kernels, whose...
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Wick Powers in Stochastic PDEs: An Introduction
Using Wick polynomials we define a two-points function $$:\!x^n_N\!:,\,n,\,N\in \mathbb...
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Forward and symmetric Wick-Itô integrals with respect to fractional Brownian motion
Let B H = { B
t H , t ⩾ 0} be a fractional Brownian motion with Hurst index H ∈ (0, 1). Inspired by pathwise integrals and Wick product, in this paper,... -
Extrapolation for Weighted Product Morrey Spaces and Some Applications
This paper builds the extrapolation theory on weighted product Morrey spaces. To prove the main result, we introduce the weighted product block...
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Two-Weight Inequalities for Multilinear Commutators in Product Spaces
This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A...
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Generalized Anti-Wick Quantum States
Density operators are positive semidefinite operators with trace one representing the mixed states of quantum mechanics. The purpose of this...
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Characterizations of Product Hardy Spaces in Bessel Setting
In this paper, we work in the setting of Bessel operators and Bessel Laplace equations studied by Weinstein, Huber, and the harmonic function theory...
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Convolution and Anti-Wick Quantisation on Ultradistribution Spaces
We present recent advances in convolution theory for the quasi-analytic and non quasi-analytic ultradistribution spaces and generalised...
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Product Space Singular Integrals with Mild Kernel Regularity
We develop product space theory of singular integrals with mild kernel regularity. We study these kernel regularity questions specifically in...
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Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative
In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted L 2 ...
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Toeplitz density operators and their separability properties
Toeplitz operators (also called localization operators) are a generalization of the well-known anti-Wick pseudodifferential operators studied by...
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A Characterization of Invariant Subspaces for Isometric Representations of Product System over \(\mathbb {N}_0^{k}\)
Using the Wold–von Neumann decomposition for the isometric covariant representations due to Muhly and Solel, we prove an explicit representation of...
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Modelling Role of Protective and Nonprotective HLA Allele Inducing Different HIV Infection Outcomes
Human immunodeficiency virus (HIV) infects CD4+ cells and causes progressive immune function failure, and CD8+ cells lyse infected CD4+ cell via...
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On the relationship between Wick calculus and stochastic integration in the Lévy white noise analysis
We deal with Lytvynov’s generalization of the chaotic representation property and the corresponding spaces of regular generalized functions in the...
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Hierarchical LU Preconditioning for the Time-Harmonic Maxwell Equation
The Maxwell system describes the behaviour of electromagnetic fields. Nedelec’s edge finite element method is an efficient discretization technique...
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Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform
We characterize the Hilbert–Schmidt class membership of commutator with the Hilbert transform in the two weight setting. The characterization depends...