带开隙的截断矩阵三角矩问题

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2014-03-21 DOI:10.2478/conop-2014-0003
S. Zagorodnyuk
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引用次数: 1

摘要

摘要本文是对乌克兰数学中截断矩阵三角矩问题研究的延续。J., 2011, 63, no。6,786 -797,以及乌克兰数学。J., 2013, 64, no。[8] [j]。在本文中,我们将研究截断矩阵三角矩问题,该问题对矩阵测度MT(δ), δ∈B(T)提出了一个附加约束,由所求函数M(x)生成:MT(∆)= 0,其中∆是T的给定开子集(称为间隙)。给出了带间隙矩问题可解的充分必要条件。带间隙矩问题的所有解都可以用内万林纳式公式来构造。
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The truncated matrix trigonometric moment problem with an open gap
Abstract This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214. In this paper we shall study the truncated matrix trigonometric moment problem with an additional constraint posed on the matrix measure MT(δ), δ ∈ B(T), generated by the seeked function M(x): MT(∆) = 0, where ∆ is a given open subset of T (called a gap). We present necessary and sufficient conditions for the solvability of the moment problem with a gap. All solutions of the moment problem with a gap can be constructed by a Nevanlinna-type formula.
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
期刊最新文献
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