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

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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 
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     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/}
}
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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/