Results 81 to 90 of about 2,211 (224)
Factorization of Fredholm operators in operator algebras
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An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
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The domain dependence of dominant Fredholm eigenvalues for the Helmholtz operator
In this article we study the behaviour of dominant Fredholm eigenvalues for the Helmholtz operator in a regular bounded open set Ω in Rm relative to some larger set Ω′ if the latter is altered.
Donig, J.
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ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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Fredholm composition operators [PDF]
Fredholm composition operators on a variety of Hilbert spaces of analytic functions on domains in C N
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Eigenvalue problem for differential Cauchy-Riemann operator with nonlocal boundary conditions
We consider the reduced spectral problem for the Cauchy-Riemann operator with nonlocal boundary conditions to Fredholm linear integral equation of the second kind with a continuous kernel. The corresponding Fredholm determinant is defined for all spectral
Nurlan N Imanbaev
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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
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Factorization of fredholm operators on analytic functions
AbstractLet Ω be a simply connected domain in the complex plane, and A(Ωn), the space of functions which are defined and analytic on Ωn, if K is the operator on elements u(t, a1, …, an) of A(Ωn + 1) defined in terms of the kernels ki(t, s, a1, …, an) in A(Ωn + 2) by Ku = ∑i = 1n ∝aitk i(t, s, a1, …, an) u(s, a1, …, an) ds ϵ A(Ωn + 1) and I is the ...
MacNabb, Alex, Schumitzky, Alan
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Fredholm classes in operator algebras [PDF]
Thesis (PhD)--University of Pretoria, 1995.In the first part of the thesis the divisors of zero in the "Calkin" algebra of a von Neumann algebra relative to an arbitrary closed ideal are used to define classes of Fredholm-type operators. The geometrical,
core
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
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