Poly-element equations reducible to moment problem for entire functions of class A

We consider poly-element linear functional equations in the class of analytic functions in the complex plane with cuts along certain segments of imaginary axis. The obtained results are applied for study of the Stieltjes moment problem for entire functions of exponential type in the class A.

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Bibliographic Details
Published in:Russian mathematics 2017-04, Vol.61 (4), p.1-4
Main Author: Garif’yanov, F. N.
Format: Article
Language:English
Subjects:
Analytic functions
Entire functions
Functional equations
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:We consider poly-element linear functional equations in the class of analytic functions in the complex plane with cuts along certain segments of imaginary axis. The obtained results are applied for study of the Stieltjes moment problem for entire functions of exponential type in the class A.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X17040016