### Abstract

This is a concise survey of some results and open problems concerning Wiener-Hopf factorization and almost periodic factorization of matrix functions. Several classes of discontinuous matrix functions are considered. Also sketched is the abstract framework which unifies the two types of factorization.

Original language | English (US) |
---|---|

Pages (from-to) | 101-122 |

Number of pages | 22 |

Journal | Operator Theory: Advances and Applications |

Volume | 229 |

State | Published - Jan 1 2013 |

### Fingerprint

### Keywords

- Almost periodic factorization
- Matrix function
- Wiener-Hopf factorization

### ASJC Scopus subject areas

- Analysis

### Cite this

*Operator Theory: Advances and Applications*,

*229*, 101-122.

**The factorization problem : Some known results and open questions.** / Böttcher, Albrecht; Spitkovsky, Ilya.

Research output: Contribution to journal › Article

*Operator Theory: Advances and Applications*, vol. 229, pp. 101-122.

}

TY - JOUR

T1 - The factorization problem

T2 - Some known results and open questions

AU - Böttcher, Albrecht

AU - Spitkovsky, Ilya

PY - 2013/1/1

Y1 - 2013/1/1

N2 - This is a concise survey of some results and open problems concerning Wiener-Hopf factorization and almost periodic factorization of matrix functions. Several classes of discontinuous matrix functions are considered. Also sketched is the abstract framework which unifies the two types of factorization.

AB - This is a concise survey of some results and open problems concerning Wiener-Hopf factorization and almost periodic factorization of matrix functions. Several classes of discontinuous matrix functions are considered. Also sketched is the abstract framework which unifies the two types of factorization.

KW - Almost periodic factorization

KW - Matrix function

KW - Wiener-Hopf factorization

UR - http://www.scopus.com/inward/record.url?scp=84899861472&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899861472&partnerID=8YFLogxK

M3 - Article

VL - 229

SP - 101

EP - 122

JO - Operator Theory: Advances and Applications

JF - Operator Theory: Advances and Applications

SN - 0255-0156

ER -