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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 55–59 (Mi znsl6562)  

On the smallness of a Paley–Wiener function near its integer zeroes

M. B. Dubashinskiy

Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
References:
Abstract: An arbitrary function in the Paley–Wiener class vanishing on a subset of $\mathbb Z$ fails to be concentrated in the vicinity of this subset.
Key words and phrases: Paley–Wiener space, uncertainty principle.
Funding agency Grant number
Russian Science Foundation 14-21-00035
Received: 26.06.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 6, Pages 859–861
DOI: https://doi.org/10.1007/s10958-019-04583-5
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. B. Dubashinskiy, “On the smallness of a Paley–Wiener function near its integer zeroes”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 55–59; J. Math. Sci. (N. Y.), 243:6 (2019), 859–861
Citation in format AMSBIB
\Bibitem{Dub18}
\by M.~B.~Dubashinskiy
\paper On the smallness of a~Paley--Wiener function near its integer zeroes
\inbook Investigations on linear operators and function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 467
\pages 55--59
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6562}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 6
\pages 859--861
\crossref{https://doi.org/10.1007/s10958-019-04583-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075200386}
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