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The Hilbert Transform for Dunkl Differential Operators Associated to the Reflection Group ℤ2
The aim of this paper is to introduce the Dunkl—Hilbert transform H k , with k ≥ 0, induced by the Dunkl differential operator and associated with the...
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Properties and applications of a conjugate transform on Schatten classes
We study a “conjugate” transform on matrix spaces. For Laurent/Toeplitz operators such a transform is a way of realizing the Hilbert transform on the...
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An inclusion–exclusion principle for tautological sheaves on Hilbert schemes of points
We show an equation of Euler characteristics of tautological sheaves on Hilbert schemes of points on the fibers of a double point degeneration. This...
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Off-Diagonal Estimates for Bilinear Commutators
We find a minimal notion of non-degeneracy for bilinear singular integral operators T and identify testing conditions on the multiplying function b ...
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Transference of bilinear multipliers on Lorentz spaces
We study DeLeeuw type transference theorems for multi-linear multiplier operators on the Lorentz spaces. To be detail, we show that, under some mild...
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Riemann–Hilbert Approach and N-Soliton Solutions for a Higher-Order Coupled Nonlinear Schrödinger System
In this paper, the main work is to study the N -soliton solutions for a higher-order coupled nonlinear Schrödinger system by using the method of...
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Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
The paper aims at establishing Riemann-Hilbert problems and presenting soliton solutions for nonlocal reverse-time nonlinear Schrödinger (NLS)...
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Boundedness and compactness of localization operators associated with the Laguerre-Bessel-Wigner transform
The main crux of this work is to define the Wigner transform associated with the Laguerre-Bessel operator and to give some results related to this...
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Maximal operators associated with bilinear multipliers of limited decay
Results analogous to those proved by Rubio de Francia [28] are obtained for a class of maximal functions formed by dilations of bilinear multiplier...
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Bilinear Spherical Maximal Functions of Product Type
In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calderón–Zygmund theory. This...
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Numerical Construction of the Transform of the Kernel of the Integral Representation of the Poincaré–Steklov Operator for an Elastic Strip
AbstractFor an isotropic stratified elastic strip we consider the Poincaré–Steklov operator that maps normal stresses into normal displacements on...