Results 161 to 170 of about 19,956 (200)

Stability of Fredholm properties on interpolation Banach spaces

Journal of Approximation Theory, 2020
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Asekritova, I., Kruglyak, N., Mastyło, M.   +2 more
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Fredholm Property of the Operator AR

1993
We obtain the closedness of the realization A R , an explicit formula for the adjoint boundary value problem, the standard Fredholm properties of A R , and various relations between its index and the indices of the related mapping pair and boundary integral in the general (global elliptic) case as well as in the local elliptic case.
Bernhelm Booß-Bavnbek, Krzysztof P. Wojciechowski   +1 more
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Fredholm properties of Riemannian exponential maps on diffeomorphism groups

Inventiones mathematicae, 2009
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Misiołek, Gerard, Preston, Stephen C.
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Pseudodifferential Operators and Their Fredholm Properties

2010
Pseudodifferential operators are a natural extension of linear integral and partial differential operators. The theory of such operators grew out of the study of singular integral operators by Giraud, Mikhlin, Calderon and Zygmund, among others. It developed rapidly after 1965 with the systematic studies of Kohn and Nirenberg [114], Hormander, and ...
Goong Chen, Goong Chen, Jianxin Zhou
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Fredholm properties of multivariate refinement equations

Mathematical Methods in the Applied Sciences, 2007
AbstractThe solvability of multivariate refinement equations in the Hilbert space L2(ℝs) is studied. It is shown that the set of all L2‐solutions of such equations either consists of the trivial solution only or it contains a subspace isomorphic to a space L∞(SM) where SM is a subset of ℝs with a positive Lebesgue measure.
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On Fredholm Properties of a Class of Hankel Operators

Mathematische Nachrichten, 2000
The authors study Fredholm properties of operators of the form \[ K_{a}\varphi=\lambda\varphi-P_{+}aP_{-}Q\varphi\tag{1} \] in weighted \(L_{p}\)-space on the real axis, where \(P_{\pm}=1/2(I\pm S)\), \(S\) is the standard operator of singular integration, \(a\) is a piecewise continuous function and \((Q\varphi)(x)=\varphi(-x)\).
Karapetiants, N. K., Samko, S. G.
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Invertibility and the fredholm property of difference operators

Mathematical Notes, 2000
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On some properties of the Fredholm‐type integral algebraic equations

Mathematical Methods in the Applied Sciences, 2020
In this paper, we study systems of Fredholm integral equations with a singular matrix multiplying the leading part. We address the solvability issues of such systems with separable kernels and, similarly to differential‐algebraic and integral algebraic equations, introduce the notion of index.
Viktor F. Chistyakov, Elena V. Chistyakova   +1 more
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Fredholm Properties of Band Matrices and Dichotomy

1988
The invertibility and Fredholm properties of a regular block band matrix are described in terms of the dichotomy of the companion sequence.
A. Ben-Artzi, I. Gohberg
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On the Fredholm property of a manifold

Russian Mathematical Surveys, 1992
Summary: The aim of this note is to prove the Fredholm property for certain manifolds that arise naturally in problems of the theory of control by systems of constant rank.
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