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Математические заметки, 2020, том 107, выпуск 1, статья опубликована в англоязычной версии журнала
(Mi mzm12697)
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Статьи, опубликованные в английской версии журнала
A Generalized Beurling Theorem for Some Lie Groups
M. Elloumia, A. Bakloutib, S. Azaouzic a Department of Mathematics and Statistics,
College of Science, King Faisal University,
P.O. Box 400 Al-Ahsa, 31982 Kingdom of Saudi Arabia
b Department of Mathematics, Faculty of Sciences at Sfax, Sfax University,
Sfax, 3038 Tunisia
c Department of Mathematics, Preparatory Institute of Engineering Studies, Sfax
University, Sfax, 3018 Tunisia
Аннотация:
For any real numbers
$p,q\geq 1$,
we present in this paper a
$(p,q)$-generalized version
of Beurling's uncertainty principle for
$\mathbb{R}^n$,
which largely extends the
classical Beurling's theorem.
We then define its analog for compact extensions of
$\mathbb{R}^n$
and also for Heisenberg groups.
Ключевые слова:
uncertainty principle, Fourier transform, Plancherel formula.
Поступило: 01.02.2019
Образец цитирования:
M. Elloumi, A. Baklouti, S. Azaouzi, “A Generalized Beurling Theorem for Some Lie Groups”, Math. Notes, 107:1 (2020), 42–53
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm12697
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