Results 11 to 20 of about 30,121 (246)

Toeplitz operators and Wiener-Hopf factorisation: an introduction

open access: yesConcrete Operators, 2017
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
doaj   +3 more sources

Semi-Fredholm theory in $$C^{*}$$-algebras

open access: yesBanach Journal of Mathematical Analysis, 2023
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
openaire   +3 more sources

Fredholm representation of multiparameter Gaussian processes with applications to equivalence in law and series expansions [PDF]

open access: yes, 2015
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
core   +2 more sources

Nonlinear PDEs for gap probabilities in random matrices and KP theory [PDF]

open access: yes, 2012
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
core   +4 more sources

Fredholm-Lagrangian-Grassmannian and the Maslov index [PDF]

open access: yes, 2003
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
core   +1 more source

Bifurcation Results for a Class of Perturbed Fredholm Maps

open access: yesFixed Point Theory and Applications, 2008
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
doaj   +2 more sources

Functional equations and separation of variables for exact g-function

open access: yesJournal of High Energy Physics, 2020
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
doaj   +1 more source

Existence and Uniqueness of Mild Solution for Mixed type of Integro-Differential Equation [PDF]

open access: yesمجلة التربية والعلم, 2018
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
doaj   +1 more source

On regularities and Fredholm theory [PDF]

open access: yesCzechoslovak Mathematical Journal, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lindeboom, L., Raubenheimer, H.
openaire   +1 more source

Smooth Infinite Economics [PDF]

open access: yes, 1996
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
core   +2 more sources

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