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Noncomplete systems of exponentials on arcs and Carleman nonquasianalytic classes. II


Authors: A. M. Gaĭsin and R. A. Gaĭsin
Translated by: S. Kislyakov
Original publication: Algebra i Analiz, tom 27 (2015), nomer 1.
Journal: St. Petersburg Math. J. 27 (2016), 33-50
MSC (2010): Primary 30D60; Secondary 26E10
DOI: https://doi.org/10.1090/spmj/1375
Published electronically: December 7, 2015
MathSciNet review: 3443265
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Abstract | References | Similar Articles | Additional Information

Abstract: In terms of the noncompleteness of a system of exponentials, a criterion is established for the nontriviality of the Siddiqi class on an arc of bounded slope all chords of which have slope strictly smaller than one.


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Additional Information

A. M. Gaĭsin
Affiliation: Institute of Mathematics with Computer Center, Russian Academy of Sciences, ul. Chernyshevskogo 112, 450008 Ufa, Bashkir State University 450074, Ufa, ul. Zaki Validi, 32, Russia
Email: gaisinam@mail.ru

R. A. Gaĭsin
Affiliation: Bashkir State University, ul. Zaki Validi 32, 450074 Ufa, Russia
Email: rashit.gajsin@mail.ru

DOI: https://doi.org/10.1090/spmj/1375
Keywords: Noncomplete systems of exponentials, Carleman quasianalytic classes on arcs, Siddiqi problem
Received by editor(s): April 1, 2014
Published electronically: December 7, 2015
Article copyright: © Copyright 2015 American Mathematical Society