Invertibility issues for a class of Wiener-Hopf plus Hankel operators

Didenko, Victor D.1,2; Silbermann, Bernd3

2021

10.4171/JST/359

Journal of Spectral Theory   影响因子和分区

1664-039X

1664-0403

["The invertibility ofWiener-Hopf plus Hankel operators W.a/ CH.b/ acting on the spaces L-p(R+), 1 <= p < infinity is studied. If a and b belong to a subalgebra of L-infinity(R) and satisfy the condition","a(t)a(-t) = b(t)b(-t), t is an element of R,","we establish necessary and also sufficient conditions for the operators W(a) + H(b) to be one-sided invertible, invertible or generalized invertible. Besides, efficient representations for the corresponding inverses are given."]

Wiener-Hopf plus Hankel operators invertibility one-sided invertibility generalized invertibility inverse operators

SCI

英语

第一 ; 通讯

Special Project on High-Performance Computing of the National Key R&D Program of China[2016YFB0200604] ; National Natural Science Foundation of China[11731006] ; Science Challenge Project of China[TZ2018001]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000675844100013

EUROPEAN MATHEMATICAL SOC-EMS

Web of Science

1.Southern Univ Sci & Technol, Dept Math, 1088 Xueyuan Ave, Shenzhen, Peoples R China
2.Southern Univ Sci & Technol, SUSTech Int Ctr Math, 1088 Xueyuan Ave, Shenzhen, Peoples R China
3.Tech Univ Chemnitz, Reichenhainer Str 39, Chemnitz, Germany

Didenko, Victor D.,Silbermann, Bernd. Invertibility issues for a class of Wiener-Hopf plus Hankel operators[J]. Journal of Spectral Theory,2021,11(2).

Didenko, Victor D.,&Silbermann, Bernd.(2021).Invertibility issues for a class of Wiener-Hopf plus Hankel operators.Journal of Spectral Theory,11(2).

Didenko, Victor D.,et al."Invertibility issues for a class of Wiener-Hopf plus Hankel operators".Journal of Spectral Theory 11.2(2021).