Almost periodic polynomial factorization of some triangular matrix functions

Yuri I. Karlovich, Ilya M. Spitkovsky

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Explicit factorization formulas are established for triangular almost periodic matrix functions with trinomial off diagonal terms in the so-called borderline cases. An application to a more general configuration via the Portuguese transformation also is given.

Original languageEnglish (US)
Title of host publicationTopics in Operator Theory
Subtitle of host publicationVolume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008
EditorsJoseph A. Ball, Vladimir Bolotnikov, Leiba Rodman, Ilya M. Spitkovsky, J. William Helton
PublisherSpringer International Publishing
Pages337-354
Number of pages18
ISBN (Print)9783034601573
DOIs
StatePublished - 2010
Event19th International Workshop on Operator Theory and its Applications, IWOTA 2008 - Williamsburg, United States
Duration: Jul 22 2008Jul 26 2008

Publication series

NameOperator Theory: Advances and Applications
Volume202
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Other

Other19th International Workshop on Operator Theory and its Applications, IWOTA 2008
CountryUnited States
CityWilliamsburg
Period7/22/087/26/08

Keywords

  • Almost periodic matrix functions
  • Factorization
  • Portuguese transformation

ASJC Scopus subject areas

  • Analysis

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  • Cite this

    Karlovich, Y. I., & Spitkovsky, I. M. (2010). Almost periodic polynomial factorization of some triangular matrix functions. In J. A. Ball, V. Bolotnikov, L. Rodman, I. M. Spitkovsky, & J. W. Helton (Eds.), Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008 (pp. 337-354). (Operator Theory: Advances and Applications; Vol. 202). Springer International Publishing. https://doi.org/10.1007/978-3-0346-0158-0_19