TY - JOUR
T1 - Factorization of matrix functions with subgroup supported Fourier coefficients
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: [email protected] (L. Rodman), [email protected] (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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U2 - 10.1016/j.jmaa.2005.10.067
DO - 10.1016/j.jmaa.2005.10.067
M3 - Article
AN - SCOPUS:33747809242
SN - 0022-247X
VL - 323
SP - 604
EP - 613
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -