Results 1 to 10 of about 603 (164)

Invertibility and Fredholm Property of Fock Toeplitz Operators

open access: yesMathematics, 2023
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj   +2 more sources

Fredholm property of nonlocal problems for integro-differential hyperbolic systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
The paper concerns nonlocal time-periodic boundary value problems for first-order integro-differential hyperbolic systems with boundary inputs. The systems are subjected to integral boundary conditions.
Irina Kmit, Roman Klyuchnyk
doaj   +4 more sources

Fredholm property of non‐smooth pseudodifferential operators [PDF]

open access: yesMathematische Nachrichten, 2020
AbstractIn this paper we prove sufficient conditions for the Fredholm property of a non‐smooth pseudodifferential operator P which symbol is in a Hölder space with respect to the spatial variable. As a main ingredient for the proof we use a suitable symbol‐smoothing.
Abels, Helmut, Pfeuffer, Christine
openaire   +5 more sources

On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator.
E.F. Abdyldaeva   +2 more
doaj   +3 more sources

Reduction an Inverse Problem to a System of Second Kind Fredholm Integral Equations with No Singularities

open access: yesJournal of Mathematics, 2022
In this article, we deal with an inverse problem concerning the two-dimensional Laplace equation with local boundary conditions on a bounded region. In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind
M. Sajjadmanesh, H. Aydi, J. Younis
doaj   +1 more source

Study of the property (bz) using local spectral theory methods

open access: yesArab Journal of Basic and Applied Sciences, 2023
For a bounded linear operator, by local spectral theory methods, we study the property [Formula: see text] which means that the difference of the approximate point spectrum with the upper semi-Fredholm spectrum coincides with the set of all finite-range ...
Elvis Aponte, Jose Soto, Ennis Rosas
doaj   +1 more source

Fredholm property of regular hypoelliptic operators on the scales of multianisotropic spaces [PDF]

open access: yesITM Web of Conferences, 2022
This paper studies the Fredholm properties for a class of regular hypoelliptic operators. We establish necessary and sufficient conditions for a priori estimates for differential operators acting in multianisotropic Sobolev spaces in Rn.
Tumanyan Ani
doaj   +1 more source

Fredholm property of general elliptic problems [PDF]

open access: yesTransactions of the Moscow Mathematical Society, 2006
Summary: Linear elliptic problems in bounded domains are normally solvable with a finite-dimensional kernel and a finite codimension of the image, that is, satisfy the Fredholm property, if the ellipticity condition, the condition of proper ellipticity and the Lopatinskii condition are satisfied.
Volpert, Aizik I., Volpert, Vit. A.
openaire   +1 more source

The Fredholm Property for Groupoids is a Local Property [PDF]

open access: yesResults in Mathematics, 2019
Fredholm Lie groupoids were introduced by Carvalho, Nistor and Qiao as a tool for the study of partial differential equations on open manifolds. This article extends the definition to the setting of locally compact groupoids and proves that \enquote{the Fredholm property is local}.
openaire   +3 more sources

Symbolic Calculus and Fredholm Property for Localization Operators [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2006
We study the composition of time-ffrequency localization operators (wavepacket operators) and develop a symbolic calculus of such operators on modulation spaces. The use of time-frequency methods (phase space methods) allows the use of rough symbols of ultra-rapid growth in place of smooth symbols in the standard classes.
CORDERO, Elena, K. Gröchenig
openaire   +4 more sources

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