On the Fredholm Index of Matrix Wiener-Hopf plus/minus Hankel Operators with Semi-almost Periodic Symbols

2008 ◽  
pp. 143-158 ◽  
Author(s):  
Giorgi Bogveradze ◽  
Luís P. Castro
Keyword(s):  
Hankel Operators ◽  
Almost Periodic ◽  
Fredholm Index

Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols on Weighted Lebesgue Spaces

2010 ◽  
Author(s):  
L. P. Castro ◽  
A. S. Silva ◽  
Michail D. Todorov ◽  
Christo I. Christov
Keyword(s):  
Hankel Operators ◽  
Almost Periodic ◽  
Lebesgue Spaces ◽  
Weighted Lebesgue Spaces

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.

scholarly journals The Coburn-Simonenko theorem for some classes of Wiener-Hopf plus Hankel operators

2014 ◽  
Vol 96 (110) ◽  
pp. 85-102 ◽  
Author(s):  
Victor Didenko ◽  
Bernd Silbermann
Keyword(s):  
Generating Functions ◽  
Hankel Operators ◽  
Matching Condition ◽  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Periodic Functions ◽  
R Functions

Wiener-Hopf plus Hankel operators W(a)+ H(b) : Lp(R+) ? Lp(R+) with generating functions a and b from a subalgebra of L?(R) containing almost periodic functions and Fourier images of L1(R)-functions are studied. For a and b satisfying the so-called matching condition a(t)a(?t) = b(t)b(?t), t ? R, we single out some classes of operators W(a)+ H(b) which are subject to the Coburn-Simonenko theorem.

scholarly journals A handy formula for the Fredholm index of Toeplitz plus Hankel operators

2012 ◽  
Vol 23 (4) ◽  
pp. 663-689 ◽  
Author(s):  
Steffen Roch ◽  
Bernd Silbermann
Keyword(s):  
Hankel Operators ◽  
Fredholm Index
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