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The Scattering Problem of Three One-Dimensional Short-Range Quantum Particles Involving Bound States in Pair Subsystems. The Coordinate Asymptotics of the Resolvent Kernel and of the Eigenfunctions of the Absolutely Continuous Spectrum
In the present work, we consider the scattering problem of three one-dimensional quantum particles of equal mass interacting by pair finite...
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Norm-attaining operators, variational principles, and Asplund spaces
In this chapter we shall review some results on extreme points, points of differentiability, farthest points and norm-attaining operators. All those...
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Sparse Bounds for Pseudo-multipliers Associated to Grushin Operators, II
In this article, we establish pointwise sparse domination results for Grushin pseudo-multipliers corresponding to various symbol classes, as a...
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Layer Potential Operators on Hardy, BMO, VMO, and Hölder Spaces
The reader is reminded that Hölder, BMO, VMO, and Hardy spaces in the general setting of spaces of homogeneous type and on Ahlfors regular sets have...
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Sharp Exponents for Anisotropic Hardy–Littlewood Type of Inequalities
We establish refined exponent ranges for anisotropic Hardy–Littlewood type of inequalities concerning m -linear operators. We further explore the...
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On the representation of linear functionals on hyper-ideals of multilinear operators
A standard technique in infinite dimensional holomorphy, which produced several useful results, uses the Borel transform to represent linear...
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Feynman–Kac Formulas for Dirichlet–Pauli–Fierz Operators with Singular Coefficients
We derive Feynman–Kac formulas for Dirichlet realizations of Pauli–Fierz operators generating the dynamics of nonrelativistic quantum mechanical...
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Maximum Principles for Degenerate Elliptic Operators
In this chapter we prove various maximum principles for degenerate elliptic differential operatorsElliptic differential operator of second order, and...