@article{9988a010f2104b869741a2559fabb4f3,
title = "Rank-deficient spectral factorization and wavelets completion problem",
abstract = "A simple constructive proof of polynomial matrix spectral factorization theorem is presented in the rank-deficient case. It is then used to provide an elementary solution to the wavelets completion problem.",
keywords = "Fej{\'e}r-Riesz lemma, Matrix spectral factorization, paraunitary matrix polynomials, wavelets completion problem",
author = "L. Ephremidze and I. Spitkovsky and E. Lagvilava",
note = "Funding Information: The first author was partially supported by the Shota Rustaveli National Science Foundation Grant (Contract Numbers: D/13-23 and 31/47). The second author was supported in part by Faculty Research funding from the Division of Science and Mathematics, New York University Abu Dhabi, and by Plumeri Award for Faculty Excellence from the College of William and Mary. Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",
year = "2015",
month = may,
day = "27",
doi = "10.1142/S0219691315500137",
language = "English (US)",
volume = "13",
journal = "International Journal of Wavelets, Multiresolution and Information Processing",
issn = "0219-6913",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",
}