[图书][B] Convolution operators and factorization of almost periodic matrix functions

A Böttcher, YI Karlovich, IM Spitkovsky - 2002 - books.google.com
This book is an introduction to convolution operators with matrix-valued almost periodic or
semi-almost periodic symbols. The basic tools for the treatment of the operators are Wiener …

An Iterative Wiener--Hopf method for triangular matrix functions with exponential factors

AV Kisil - SIAM Journal on Applied Mathematics, 2018 - SIAM
This paper introduces a new method for constructing approximate solutions to a class of
Wiener--Hopf equations. This is particularly useful since exact solutions of this class of …

Relations between convolution type operators on intervals and on the half-line

LP Castro, FO Speck - Integral Equations and Operator Theory, 2000 - Springer
This paper is devoted to the question to obtain (algebraic and topologic) equivalence (after
extension) relations between convolution type operators on unions of intervals and …

Factorization of almost periodic matrix-valued functions and the Noether theory for certain classes of equations of convolution type

YI Karlovich, IM Spitkovskiĭ - Mathematics of the USSR-Izvestiya, 1990 - iopscience.iop.org
The authors study n-and d-normality and compute the index of systems of singular integral
equations with a semi-almost periodic matrix-valued coefficient G, as well as the index of …

Regularity of convolution type operators with PC symbols in Bessel potential spaces over two finite intervals

LP Castro - Mathematische Nachrichten, 2003 - Wiley Online Library
Convolution type operators acting between Bessel potential spaces defined on a union of
two finite intervals are studied from the point of view of their regularity properties. The …

Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions

MA Bastos, YI Karlovich, B Silbermann - Proceedings of the London …, 2004 - cambridge.org
Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic
matrix functions Page 1 TOEPLITZ OPERATORS WITH SYMBOLS GENERATED BY SLOWLY …

Vector Riemann–Hilbert problem with almost periodic and meromorphic coefficients and applications

YA Antipov - Proceedings of the Royal Society A …, 2015 - royalsocietypublishing.org
The vector Riemann–Hilbert problem is analysed when the entries of its matrix coefficient
are meromorphic and almost periodic functions. Three cases for the meromorphic functions …

A note on first kind convolution equations on a finite interval

AB Kuijper - Integral Equations and Operator Theory, 1991 - Springer
This note deals with a class of convolution operators of the first kind on a finite interval.
Necessary and sufficient conditions for such an operator to be Fredholm are given. The …

The factorization problem: some known results and open questions

A Böttcher, IM Spitkovsky - Advances in Harmonic Analysis and Operator …, 2013 - Springer
This is a concise survey of some results and open problems concerning Wiener-Hopf
factorization and almost periodic factorization of matrix functions. Several classes of …

Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight

A Böttcher, YI Karlovich, IM Spitkovsky - Integral Equations and Operator …, 1994 - Springer
We establish Fredholm criteria and index formulas for Toeplitz operators with semialmost
periodic matrix-valued symbols on the Hardy spaces corresponding to L p spaces on the …