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Câmara, M. C., Diogo, C. & Spitkovsky, I. M. (2015). Toeplitz operators of finite interval type and the table method. Journal of Mathematical Analysis and Applications. 432 (2), 1148-1173

M. C. Câmara et al.,  "Toeplitz operators of finite interval type and the table method", in Journal of Mathematical Analysis and Applications, vol. 432, no. 2, pp. 1148-1173, 2015

@article{câmara2015_1713617527215,
	author = "Câmara, M. C. and Diogo, C. and Spitkovsky, I. M.",
	title = "Toeplitz operators of finite interval type and the table method",
	journal = "Journal of Mathematical Analysis and Applications",
	year = "2015",
	volume = "432",
	number = "2",
	doi = "10.1016/j.jmaa.2015.07.028",
	pages = "1148-1173",
	url = "http://www.sciencedirect.com/science/article/pii/S0022247X15006745"
}

TY  - JOUR
TI  - Toeplitz operators of finite interval type and the table method
T2  - Journal of Mathematical Analysis and Applications
VL  - 432
IS  - 2
AU  - Câmara, M. C.
AU  - Diogo, C.
AU  - Spitkovsky, I. M.
PY  - 2015
SP  - 1148-1173
SN  - 0022-247X
DO  - 10.1016/j.jmaa.2015.07.028
UR  - http://www.sciencedirect.com/science/article/pii/S0022247X15006745
AB  - 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
ER  -