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

Y. I. Karlovich; Ilya Spitkovsky

doi:10.1070/IM1990v034n02ABEH000646

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

Y. I. Karlovich, Ilya Spitkovsky

Mathematics

Research output: Contribution to journal › Article

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	https://doi.org/10.1070/IM1990v034n02ABEH000646
State	Published - Apr 30 1990

Fingerprint

Noether

Almost Periodic

Normality

Convolution

Factorization

Describing Function

Singular Integral Equation

Half line

Interval

Coefficient

Operator

Class

ASJC Scopus subject areas

Mathematics(all)

Cite this

Karlovich, Y. I., & Spitkovsky, I. (1990). Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type. 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.

In: Mathematics of the USSR - Izvestija, Vol. 34, No. 2, 30.04.1990, p. 281-316.

Research output: Contribution to journal › Article

Karlovich, YI & Spitkovsky, I 1990, 'Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type', Mathematics of the USSR - Izvestija, vol. 34, no. 2, pp. 281-316. https://doi.org/10.1070/IM1990v034n02ABEH000646

Karlovich YI, Spitkovsky I. Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type. Mathematics of the USSR - Izvestija. 1990 Apr 30;34(2):281-316. https://doi.org/10.1070/IM1990v034n02ABEH000646

Karlovich, Y. I. ; Spitkovsky, Ilya. / Factorization of almost periodic matrix-valued functions and the noether theory for certain classes of equations of convolution type. In: Mathematics of the USSR - Izvestija. 1990 ; Vol. 34, No. 2. pp. 281-316.

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10.1070/IM1990v034n02ABEH000646