### Abstract

The authors study n- and d-normality and compute the index of systems of singular integral equations with a semi-almost periodic matrix-valued coefficient G, as well as the index of operators of convolution type on the half-line and a finite interval converging to it. At the base of the investigation lies factorization with almost periodic factors of matrix-valued functions describing the asymptotics of G at ŷ 蜴.

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

Pages (from-to) | 281-316 |

Number of pages | 36 |

Journal | Mathematics of the USSR - Izvestija |

Volume | 34 |

Issue number | 2 |

DOIs | |

State | Published - Apr 30 1990 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Mathematics of the USSR - Izvestija*,

*34*(2), 281-316. https://doi.org/10.1070/IM1990v034n02ABEH000646

**Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type.** / Karlovich, Y. I.; Spitkovsky, Ilya.

Research output: Contribution to journal › Article

*Mathematics of the USSR - Izvestija*, vol. 34, no. 2, pp. 281-316. https://doi.org/10.1070/IM1990v034n02ABEH000646

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TY - JOUR

T1 - Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type

AU - Karlovich, Y. I.

AU - Spitkovsky, Ilya

PY - 1990/4/30

Y1 - 1990/4/30

N2 - The authors study n- and d-normality and compute the index of systems of singular integral equations with a semi-almost periodic matrix-valued coefficient G, as well as the index of operators of convolution type on the half-line and a finite interval converging to it. At the base of the investigation lies factorization with almost periodic factors of matrix-valued functions describing the asymptotics of G at ŷ 蜴.

AB - The authors study n- and d-normality and compute the index of systems of singular integral equations with a semi-almost periodic matrix-valued coefficient G, as well as the index of operators of convolution type on the half-line and a finite interval converging to it. At the base of the investigation lies factorization with almost periodic factors of matrix-valued functions describing the asymptotics of G at ŷ 蜴.

UR - http://www.scopus.com/inward/record.url?scp=0003055688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003055688&partnerID=8YFLogxK

U2 - 10.1070/IM1990v034n02ABEH000646

DO - 10.1070/IM1990v034n02ABEH000646

M3 - Article

VL - 34

SP - 281

EP - 316

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 2

ER -