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Uniqueness theorems for almost periodic objects
Favorov Sergiy Yuriyovych 1 , Udodova Olga Ihorivna 2
1 Department of Fundamental Mathematics, Karazin's Kharkiv National University, Kharkiv, 61022, Ukraine
2 Kharkiv National University of the Air Force, Kharkiv, 61023, Ukraine
Keywords: almost periodic function, almost periodic measure, almost periodic meromorphic function
Abstract
Uniqueness theorems are considered for various types of  almost periodic objects: functions, measures, distributions, multisets, holomorphic and  meromorphic functions.
References

[1] Favorov, S.Yu.Uniqueness Theorems for Fourier Quasicrystals and Temperate Distributions with Discrete Support. arXiv:2006.07610, 2020
[2] Favorov, S.Yu.Uniqueness theorem for Fourier transformable measures on LCA groups. Matematychni Studii 2020, 54 (2), Page 211–219.
[3] Favorov S., Kolbasina Ye. Almost periodic discrete sets. Journal of Mathematical Physics, Analysis, Geometry 2010, 6 (1), Page 34–47.
[4] Favorov S.Yu., Kolbasina Ye.Yu. Perturbations of discrete lattices and almost periodic sets. Algebra and Discrete Mathematica 2010, 9 (2), Page 48–58.
[5] Favorov S.Yu.,Parfyonova N.D. Meromorphic almost periodic functions. Matematichni Studii 2000, 13 (2), Page 190–198.
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[7] Kurasov,P., Suhr,R. Asymptotically isospectral quantum graphs and generalised trigonometric polynomials. J. Math.Anal.Appl. 2020, 488, Page 1–15.
[8] Nevanlinna R. Le theorame de Picard-Borelet la theorie des functions meromorphes, Paris, 1929.

[9] Ronkin L.I. Almost Periodic Distributions and Divisors in Tube Domains. Zap. Nauchn. Sem. POMI 1997, 247, Page 210 236. (in Russian).

[10] Sunyer-i-Balaguer F. Una nova generalitzacio de les funcions gairebe-periodiques. Inst. d'Estudis Catalanas, Arxius de la seccio de ciencies, 17, 1949. (in Catalanes).

Cite
ACS Style
Favorov, S.Y.; Udodova, O.I. Uniqueness theorems for almost periodic objects. Bukovinian Mathematical Journal. 2021, 9 https://doi.org/https://doi.org/10.31861/bmj2021.01.03
AMA Style
Favorov SY, Udodova OI. Uniqueness theorems for almost periodic objects. Bukovinian Mathematical Journal. 2021; 9(1). https://doi.org/https://doi.org/10.31861/bmj2021.01.03
Chicago/Turabian Style
Sergiy Yuriyovych Favorov, Olga Ihorivna Udodova. 2021. "Uniqueness theorems for almost periodic objects". Bukovinian Mathematical Journal. 9 no. 1. https://doi.org/https://doi.org/10.31861/bmj2021.01.03
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