Results 71 to 80 of about 19,956 (200)
Spectral and Fredholm Properties of Operators in Elementary Nest Algebras [PDF]
Some spectral and Fredholm properties are proved for linear operators which leave invariant certain nests of closed subspaces.
Barnes, Bruce A., Clauss, Jon M.
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Ghost effect from Boltzmann theory
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
Elevated Salivary Theobromine and Long‐Term Improvement of Periodontal Health in Two Cohort Studies
ABSTRACT Background Theobromine, a methylxanthine mainly found in chocolate, has been suggested to possess various health‐promoting properties. This study aimed to investigate the long‐term effect of salivary theobromine levels on periodontitis severity using 7‐ and 10‐year follow‐up data from the prospective Studies of Health in Pomerania (SHIP‐TREND ...
Thomas Kocher +8 more
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Multivariate representations of univariate marked Hawkes processes
Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
wiley +1 more source
Fredholm properties of Toeplitz operators on Dirichlet spaces [PDF]
The author analyzes Toeplitz operators on Dirichlet spaces and computes spectra of Toeplitz operators with symbols in \(C^1,H^\infty_1+ C^1\). Let \(D\) be the unit disk in the complex plane \(\mathbb{C}\), \(dA={1\over \pi} dx dy\) be the normalized area measure on \(D\). \(L^{2,1}\) is the space of functions \(u:D\to\mathbb{C}\), for which the norm \[
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Scattering theory for difference equations with operator coefficients
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
wiley +1 more source
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
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Harmonic maps to the circle with higher dimensional singular set
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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Background. The problem of electromagnetic waves propagation in a dielectric rod of arbitrary cross-section covered with a layer of graphene, which is considered infinitely thin, is considered.
Yuriy G. Smirnov
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We consider the massive Klein-Gordon equation on a class of asymptotically static spacetimes. We prove the existence and Hadamard property of the in and out states constructed by scattering theory methods.
Gérard, Christian, Wrochna, Michal
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