Factorization of matrix functions with subgroup supported Fourier coefficients

Leiba Rodman; Ilya M. Spitkovsky

doi:10.1016/j.jmaa.2005.10.067

Factorization of matrix functions with subgroup supported Fourier coefficients

Leiba Rodman, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that if a Wiener class matrix function on a connected compact abelian group admits a factorization with respect to a connected compact abelian supergroup, then it admits a factorization with respect to the original group. In particular, all factorization indices are characters of the original group. An illustrative example is considered.

Original language	English (US)
Pages (from-to)	604-613
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	323
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2005.10.067
State	Published - Nov 1 2006

Keywords

Linearly ordered groups
Wiener algebras
Wiener-Hopf factorization

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2005.10.067

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title = "Factorization of matrix functions with subgroup supported Fourier coefficients",

abstract = "It is proved that if a Wiener class matrix function on a connected compact abelian group admits a factorization with respect to a connected compact abelian supergroup, then it admits a factorization with respect to the original group. In particular, all factorization indices are characters of the original group. An illustrative example is considered.",

keywords = "Linearly ordered groups, Wiener algebras, Wiener-Hopf factorization",

author = "Leiba Rodman and Spitkovsky, {Ilya M.}",

note = "Funding Information: The research of both authors was partially supported by NSF grant DMS-0456625. Corresponding author. E-mail addresses: lxrodm@math.wm.edu (L. Rodman), ilya@math.wm.edu (I.M. Spitkovsky).",

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AU - Rodman, Leiba

AU - Spitkovsky, Ilya M.

N1 - Funding Information: The research of both authors was partially supported by NSF grant DMS-0456625. Corresponding author. E-mail addresses: lxrodm@math.wm.edu (L. Rodman), ilya@math.wm.edu (I.M. Spitkovsky).

PY - 2006/11/1

Y1 - 2006/11/1

N2 - It is proved that if a Wiener class matrix function on a connected compact abelian group admits a factorization with respect to a connected compact abelian supergroup, then it admits a factorization with respect to the original group. In particular, all factorization indices are characters of the original group. An illustrative example is considered.

AB - It is proved that if a Wiener class matrix function on a connected compact abelian group admits a factorization with respect to a connected compact abelian supergroup, then it admits a factorization with respect to the original group. In particular, all factorization indices are characters of the original group. An illustrative example is considered.

KW - Linearly ordered groups

KW - Wiener algebras

KW - Wiener-Hopf factorization

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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ER -

Factorization of matrix functions with subgroup supported Fourier coefficients

Abstract

Keywords

ASJC Scopus subject areas

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