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// Zapiski Nauchnykh Seminarov POMI
// Archive
Zap. Nauchn. Sem. 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
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.
UDC:
517.5
Received:
26.06.2018
Fulltext:
PDF file (138 kB)
References
English version:
Journal of Mathematical Sciences (New York), 2019,
243
:6,
859–861
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
Fulltext:
PDF file (138 kB)