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Deep solution operators for variational inequalities via proximal neural networks
Following Bauschke and Combettes (Convex analysis and monotone operator theory in Hilbert spaces, Springer, Cham, 2017), we introduce ProxNet, a...
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Primal-dual splittings as fixed point iterations in the range of linear operators
In this paper we study the convergence of the relaxed primal-dual algorithm with critical preconditioners for solving composite monotone inclusions...
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A Brief Introduction to Noncommutative Function Theory
This survey provides a very brief introduction to the notion of a noncommutative function, with a particular emphasis on those parts of the theory...
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A note on extrapolation of compactness
This note is devoted to the study of Hytönen’s extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of...
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Fractional flows driven by subdifferentials in Hilbert spaces
This paper presents an abstract theory on well-posedness for time-fractional evolution equations governed by subdifferential operators in Hilbert...
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Krein reproducing kernel modules in Clifford analysis
Classic hypercomplex analysis is intimately linked with elliptic operators, such as the Laplacian or the Dirac operator, and positive quadratic...
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A Note on the Heat Kernel for the Rescaled Harmonic Oscillator from Two Step Nilpotent Lie Groups
In this note, we use Schrödinger representations and the Fourier transform on two step nilpotent Lie groups to compute the explicit formula of the...
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1D Model for the 3D Magnetohydrodynamics
We propose a one-dimensional (1D) model for the three-dimensional (3D) incompressible ideal magnetohydrodynamics. For this 1D model, local...
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Aluthge transform of operators on the Bergman space
The aim of this paper is to explore some sufficient conditions for Aluthge transform of Toeplitz operators on the Bergman space to be unitary,...
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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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The Whittaker Plancherel theorem
The purpose of this article is to give an exposition of a proof of the distributional form of the Whittaker Plancherel Theorem. The proof is an...
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Bivariate Poly-analytic Hermite Polynomials
A new class of bivariate poly-analytic Hermite polynomials is considered. We show that they are realizable as the Fourier–Wigner transform of the...
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Boundedness and compactness of localization operators for Weinstein–Wigner transform
In this paper, we define and study the notion of localization operators associated with the Weinstein–Wigner transform. We prove that they are in the...
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A Riemann–Hilbert problem for uncoupled BPS structures
We study the Riemann–Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in (“Riemann–Hilbert problems from...
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Weil–Petersson Teichmüller Theory of Surfaces of Infinite Conformal Type
Over the past two decades the theory of the Weil–Petersson metric has been extended to general Teichmüller spaces of infinite type, including for...