Results 21 to 30 of about 462,806 (159)
Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]
, 2007 A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
V. Daniele +3 more
core +1 more source
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core +5 more sources
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In the present article we investigate problems of tracking in the moving point control of thermal processes described by Fredholm integro-differential equations in partial derivatives with the Fredholm integral operator, in the case when the functions ...
A. Kerimbekov +2 more
doaj +1 more source
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, 2003 This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols.
A. Böttcher, S. Grudsky, I. Spitkovsky
doaj +1 more source
A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators [PDF]
The American Mathematical Monthly, 2001 Let $A$ be a linear bounded operator in a Hilbert space $H$, $N(A)$ and $R(A)$ its null-space and range, and $A^*$ its adjoint.
openaire +3 more sources
Left and Right B-Fredholm Operators
Ukrainian Mathematical Journal, 2022 UDC 517.9 We introduce the families of left and right B-Fredholm operators in Banach space, realize their stabilization with the help of finite-rank operators, and prove a spectral mapping theorem for the left and right B-Fredholm operators.
Abdmouleh, F., Lakhal, T. Ben
openaire +2 more sources
Weighted Frobenius-Perron operators and their spectra [PDF]
Mathematica Bohemica, 2017 First, some classic properties of a weighted Frobenius-Perron operator $\mathcal{P}_\varphi^u$ on $L^1(\Sigma)$ as a predual of weighted Koopman operator $W=uU_\varphi$ on $L^\infty(\Sigma)$ will be investigated using the language of the conditional ...
Mohammad Reza Jabbarzadeh +1 more
doaj +1 more source
A metric approach to limit operators
, 2017 We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
core +1 more source
Solvability conditions for some difference operators
Advances in Difference Equations, 2005 Infinite-dimensional difference operators are studied. Under the assumption that the coefficients of the operator have limits at infinity, limiting operators and associated polynomials are introduced.
V. A. Volpert, N. C. Apreutesei
doaj +2 more sources
Some Remarks on Perturbation Classes of Semi-Fredholm and Fredholm Operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 We show the existence of Banach spacesX,Ysuch that the set of strictly singular operators𝒮(X,Y)(resp., the set of strictly cosingular operators𝒞𝒮(X,Y))would be strictly included inℱ+(X,Y)(resp.,ℱ−(X,Y))for the nonempty class of closed densely defined upper semi-Fredholm operatorsΦ+(X,Y)(resp., for the nonempty class of closed densely defined lower semi-
Abdelkader Dehici, Khaled Saoudi
openaire +2 more sources