beurling’s theorem
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Analogues of Beurling's theorem for some integral transforms

Integral Transforms and Special Functions ◽

10.1080/10652469.2021.1979972 ◽

2021 ◽

pp. 1-24

Author(s):

Santanu Debnath ◽

Suparna Sen

Keyword(s):

Integral Transforms ◽

Beurling’S Theorem

Beurling’s Theorem for the Q-Fourier-Dunkl Transform

Kragujevac Journal of Mathematics ◽

10.46793/kgjmat2101.039l ◽

2021 ◽

Vol 45 (01) ◽

pp. 39-46

Author(s):

EL MEHDI LOUALID ◽

AZZEDINE ACHAK ◽

RADOUAN DAHER

Keyword(s):

Fourier Transform ◽

Heat Kernel ◽

Dunkl Transform ◽

Uncertainty Principles ◽

Dunkl Operator ◽

Beurling’S Theorem

The Q-Fourier-Dunkl transform satisﬁes some uncertainty principles in a similar way to the Euclidean Fourier transform. By using the heat kernel associated to the Q-Fourier-Dunkl operator, we establish an analogue of Beurling’s theorem for the Q-Fourier-Dunkl transform ℱQ on ℝ.

Beurling’s theorem for quaternionic Heisenberg group

The Journal of Analysis ◽

10.1007/s41478-020-00294-2 ◽

2021 ◽

Author(s):

Moussa Faress ◽

Said Fahlaoui

Keyword(s):

Heisenberg Group ◽

Beurling’S Theorem ◽

Quaternionic Heisenberg Group

Beurling’s Theorem on locally compact abelian groups

Banach Algebras and Applications ◽

10.1515/9783110602418-001 ◽

2020 ◽

pp. 1-4

Keyword(s):

Abelian Groups ◽

Locally Compact ◽

Locally Compact Abelian Groups ◽

Beurling’S Theorem ◽

Compact Abelian Groups

Beurling’s theorem, Davenport’s formula, and the Riemann hypothesis

St Petersburg Mathematical Journal ◽

10.1090/spmj/1577 ◽

2019 ◽

Vol 30 (6) ◽

pp. 917-932

Author(s):

V. V. Kapustin

Keyword(s):

Riemann Hypothesis ◽

Beurling’S Theorem