Geodesic
The Coburn-Simonenko Theorem for Some Classes of Wiener-Hopf Plus Hankel Operators
Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 85 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Wiener-Hopf plus Hankel operators $W(a)+H(b):L^p(\mathbb{R}^+)\to L^p(\mathbb{R}^+)$ with generating functions $a$ and $b$ from a subalgebra of $L^\infty(\mathbb{R})$ containing almost periodic functions and Fourier images of $L^1(\mathbb{R})$-functions are studied. For $a$ and $b$ satisfying the so-called matching condition $ a(t)a(-t)=b(t)b(-t),\quad tı\mathbb{R}, $ we single out some classes of operators $W(a)+H(b)$ which are subject to the Coburn-Simonenko theorem.
Classification : 47B35 47B38 47B33 45E10
Keywords: Wiener-Hopf plus Hankel operator, Coburn-Simonenko theorem, invertibility 
@article{PIM_2014_N_S_96_110_a7,
     author = {Victor D. Didenko and Bernd Silbermann},
     title = {The {Coburn-Simonenko} {Theorem} for {Some} {Classes} of {Wiener-Hopf} {Plus} {Hankel} {Operators}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {85 },
     publisher = {mathdoc},
     volume = {_N_S_96},
     number = {110},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a7/}
}
TY  - JOUR
AU  - Victor D. Didenko
AU  - Bernd Silbermann
TI  - The Coburn-Simonenko Theorem for Some Classes of Wiener-Hopf Plus Hankel Operators
JO  - Publications de l'Institut Mathématique
PY  - 2014
SP  - 85 
VL  - _N_S_96
IS  - 110
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a7/
LA  - en
ID  - PIM_2014_N_S_96_110_a7
ER  - 
%0 Journal Article
%A Victor D. Didenko
%A Bernd Silbermann
%T The Coburn-Simonenko Theorem for Some Classes of Wiener-Hopf Plus Hankel Operators
%J Publications de l'Institut Mathématique
%D 2014
%P 85 
%V _N_S_96
%N 110
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a7/
%G en
%F PIM_2014_N_S_96_110_a7
Victor D. Didenko; Bernd Silbermann. The Coburn-Simonenko Theorem for Some Classes of Wiener-Hopf Plus Hankel Operators. Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 85 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a7/