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56 papers · 1 filter
(Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited
Fritz Gesztesy, Konstantin A. Makarov
We revisit the computation of (2-modified) Fredholm determinants for operators with matrix-valued semi-separable integral kernels. The latter occur, for instance, in the form of Gr…
Threefolds with Vanishing Hodge Cohomology
Jing Zhang
We consider algebraic manifolds of dimension 3 over with for all and . Let be a smooth completion of with , an effecti…
On Weyl-Titchmarsh Theory for Singular Finite Difference Hamiltonian Systems
Steve Clark, Fritz Gesztesy
We develop the basic theory of matrix-valued Weyl-Titchmarsh M-functions and the associated Green's matrices for whole-line and half-line self-adjoint Hamiltonian finite difference…
Coverings by convex bodies and inscribed balls
Vladimir Kadets
Let be a Hilbert space. For a closed convex body denote by the supremum of radiuses of balls, contained in . We prove, that fo…
Liquid crystalline states for two-dimensional electrons in strong magnetic fields
Orion Ciftja, Cintia M. Lapilli, Carlos Wexler
Based on the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory of two-dimensional melting and the analogy between Laughlin states and the two-dimensional one-component plasm…
Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type
Michael Christ, Loukas Grafakos, Petr Honzik +1
We show that maximal operators formed by dilations of Mikhlin-H"ormander multipliers are typically not bounded on . We also give rather weak conditions in terms of the de…