Results 11 to 20 of about 30,121 (246)
Toeplitz operators and Wiener-Hopf factorisation: an introduction
Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
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Semi-Fredholm theory in $$C^{*}$$-algebras
This preprint has not undergone peer review (when applicable) or any post-submission improvements or corrections. The Version of the Record of this article is published in the Banach Journal of Mathematical Analysis and is available online at https://doi.org/10.1007/s43037-023-00277 ...
Ivkovic, Stefan
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Fredholm representation of multiparameter Gaussian processes with applications to equivalence in law and series expansions [PDF]
We show that every multiparameter Gaussian process with integrable variance function admits a Wiener integral representation of Fredholm type with respect to the Brownian sheet.
Sottinen, Tommi, Viitasaari, Lauri
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Nonlinear PDEs for gap probabilities in random matrices and KP theory [PDF]
Airy and Pearcey-like kernels and generalizations arising in random matrix theory are expressed as double integrals of ratios of exponentials, possibly multiplied with a rational function. In this work it is shown that such kernels are intimately related
Adler +40 more
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Fredholm-Lagrangian-Grassmannian and the Maslov index [PDF]
We explain the topology of the space, so called, Fredholm-Lagrangian-Grassmannain and the quantity ``Maslov index'' for paths in this space based on the standard theory of Functional Analysis.
Arnold +29 more
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Bifurcation Results for a Class of Perturbed Fredholm Maps
We prove a global bifurcation result for an equation of the type Lx+λ(h(x)+k(x))=0, where L:E  →  F is a linear Fredholm operator of index zero between Banach spaces, and, given an open subset Ω of E, h,k:Ω×[0,+∞)
Alessandro Calamai, Pierluigi Benevieri
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Functional equations and separation of variables for exact g-function
The g-function is a measure of degrees of freedom associated to a boundary of two-dimensional quantum field theories. In integrable theories, it can be computed exactly in a form of the Fredholm determinant, but it is often hard to evaluate numerically ...
João Caetano, Shota Komatsu
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Existence and Uniqueness of Mild Solution for Mixed type of Integro-Differential Equation [PDF]
In this paper, we study the existence and uniqueness of a mild solution of a nonlinear mixed Volterra – Fredholm integro-differential equation with nonlocal condition in Banach space. Furthermore, we study continuouce dependence of mild solution.
Akram H. Mahmood, Sara F. Abdullah
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On regularities and Fredholm theory [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lindeboom, L., Raubenheimer, H.
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Smooth Infinite Economics [PDF]
Equilibrium conditions in smooth infinite economies with separable utilities are described by Fredholm maps, which are Frechet differentiable. Therefore, Smale's extension of Sard's theorem can be used to studying infinite economies.
Chichilnisky, Graciela, Zhou, Yuqing
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