An overview of matrix factorization theory and operator applications
I Gohberg, MA Kaashoek, IM Spitkovsky - Factorization and Integrable …, 2003 - Springer
These lecture notes present an extensive review of the factorization theory of matrix
functions relative to a curve with emphasis on the developments of the last 20–25 years. The …
functions relative to a curve with emphasis on the developments of the last 20–25 years. The …
[图书][B] Convolution operators and factorization of almost periodic matrix functions
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 …
semi-almost periodic symbols. The basic tools for the treatment of the operators are Wiener …
Relations between convolution type operators on intervals and on the half-line
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 …
extension) relations between convolution type operators on unions of intervals and …
Explicit solution of a Dirichlet-Neumann wedge diffraction problem with a strip
A rectangular wedge diffraction problem with a strip is studied from an operator theoretical
point of view. The problem is formulated as a boundary-value problem with first and second …
point of view. The problem is formulated as a boundary-value problem with first and second …
On the Haseman problem
YI Karlovich - Demonstratio Mathematica, 1993 - degruyter.com
The operator (1) is closely connected with the boundary value problem of Haseman: find a
piecewise analytic function & (z) having a representation of it in the form of the Cauchy type …
piecewise analytic function & (z) having a representation of it in the form of the Cauchy type …
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 …
matrix functions Page 1 TOEPLITZ OPERATORS WITH SYMBOLS GENERATED BY SLOWLY …
[HTML][HTML] The C∗-algebra of singular integral operators with semi-almost periodic coefficients
We establish a Fredholm criterion for the operators belonging to the C∗-algebra generated
by singular integral operators with semi-almost periodic matrix coefficients. The result is …
by singular integral operators with semi-almost periodic matrix coefficients. The result is …
On a new algorithm for almost periodic factorization
MA Bastos, YI Karlovich, IM Spitkovsky… - Recent Progress in …, 1998 - Springer
>- E JR. fl(f) = {AE JR : 1(>-) cF O}, L l(>-)eA AP± = {f E AP : 1(>-) = 0 for ± >- < O}, Page 1
Operator Theory: Advances and Applications, Vol. 103 © 1998 Birkhauser Verlag Basel/Switzerland …
Operator Theory: Advances and Applications, Vol. 103 © 1998 Birkhauser Verlag Basel/Switzerland …
The corona theorem and the canonical factorization of triangular AP matrix functions—effective criteria and explicit formulas
MA Bastos, YI Karlovich, AF Dos Santos… - Journal of mathematical …, 1998 - Elsevier
Using results of the companion paper, the authors obtain effective criteria for the existence of
canonical factorization for new classes of triangular almost periodic matrix functions of the …
canonical factorization for new classes of triangular almost periodic matrix functions of the …
On the corona theorem for almost periodic functions
A Böttcher - Integral Equations and Operator Theory, 1999 - Springer
Abstract Let AP Σ+(R n) denote the Banach algebra of all continuous almost periodic
functions on R n whose Bohr-Fourier spectrum is contained in an additive semi-group …
functions on R n whose Bohr-Fourier spectrum is contained in an additive semi-group …