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Title: Toeplitz operators of finite interval type and the table method
Authors: Câmara, M. C.
Diogo, C.
Spitkovsky, I. M.
Keywords: Toeplitz operator'
Riemann-Hilbert problem
Factorization theory
Almost periodic function
Issue Date: 2015
Publisher: Academic Press/Elsevier
Abstract: We solve a Riemann-Hilbert problem with almost periodic coefficient G, associated to a Toeplitz operator T-G in a class which is closely connected to finite interval convolution equations, based on a generalization of the so-called table method. The explicit determination of solutions to that problem allows one to establish necessary and sufficient conditions for the invertibility of the corresponding Toeplitz operator, and to determine an appropriate factorization of G, providing explicit formulas for the inverse of T-G. Some unexpected properties of the Fourier spectrum of the solutions are revealed which are not apparent through other approaches to the same problem
Peer reviewed: yes
DOI: 10.1016/j.jmaa.2015.07.028
ISSN: 0022-247X
Accession number: WOS:000360324200035
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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