We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The truncated matrix trigonometric moment problem with an open gap.
- Authors
Zagorodnyuk, Sergey
- 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 ϵ B(T), generated by the seeked function M(x): MT(Δ) = 0, where Δ 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.
- Subjects
TRIGONOMETRIC functions; MOMENT problems (Mathematics); SPECTRAL analysis (Phonetics); ISOMETRICS (Mathematics); NEVANLINNA theory
- Publication
Concrete Operators, 2015, Vol 2, Issue 1, p17
- ISSN
2299-3282
- Publication type
Article
- DOI
10.2478/conop-2014-0003