Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation

2002 ◽  
Vol 160 (762) ◽  
pp. 0-0 ◽  
Author(s):  
Leiba Rodman ◽  
Ilya M. Spitkovsky ◽  
Hugo J. Woerdeman
Keyword(s):  
Spectral Estimation ◽  
Matrix Functions ◽  
Almost Periodic ◽  
Periodic Matrix ◽  
Band Method

scholarly journals Invertibility of matrix Wiener-Hopf plus Hankel operators withAPWFourier symbols

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
G. Bogveradze ◽  
L. P. Castro
Keyword(s):  
Hankel Operators ◽  
Generalized Inverses ◽  
Matrix Functions ◽  
Almost Periodic ◽  
Periodic Matrix

A characterization of the invertibility of a class of matrix Wiener-Hopf plus Hankel operators is obtained based on a factorization of the Fourier symbols which belong to the Wiener subclass of the almost periodic matrix functions. Additionally, a representation of the inverse, lateral inverses, and generalized inverses is presented for each corresponding possible case.

Sarason interpolation and Toeplitz corona theorem for almost periodic matrix functions

1998 ◽  
Vol 32 (3) ◽  
pp. 243-281 ◽  
Author(s):  
J. A. Ball ◽  
Yu. I. Karlovich ◽  
L. Rodman ◽  
I. M. Spitkovsky
Keyword(s):  
Matrix Functions ◽  
Almost Periodic ◽  
Corona Theorem ◽  
Periodic Matrix

scholarly journals New cases of almost periodic factorization of triangular matrix functions.

1998 ◽  
Vol 45 (1) ◽  
pp. 73-102 ◽  
Author(s):  
Daniel Quint ◽  
Leiba Rodman ◽  
Ilya M. Spitkovsky
Keyword(s):  
Triangular Matrix ◽  
Matrix Functions ◽  
Almost Periodic ◽  
Almost Periodic Factorization

scholarly journals Block Toeplitz operators with frequency-modulated semi-almost periodic symbols

2003 ◽  
Vol 2003 (34) ◽  
pp. 2157-2176 ◽  
Author(s):  
A. Böttcher ◽  
S. Grudsky ◽  
I. Spitkovsky
Keyword(s):  
Toeplitz Operator ◽  
Frequency Modulation ◽  
Real Line ◽  
Matrix Function ◽  
Toeplitz Operators ◽  
Matrix Functions ◽  
Almost Periodic ◽  
The Matrix ◽  
Matrix Symbol ◽  
Block Toeplitz Operators

This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation-preserving homeomorphismαof the real line that ensure the following: ifbbelongs to a certain class of oscillating matrix functions (periodic, almost periodic, or semi-almost periodic matrix functions) and the Toeplitz operator generated by the matrix functionb(x)is semi-Fredholm, then the Toeplitz operator with the matrix symbolb(α(x))is also semi-Fredholm.

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