Abstract
In a many-dimensional space, we study some properties of functions with lacunary Fourier series depending only on the values of these functions in a neighborhood of a certain point.
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References
N. K. Bari, Trigonometric Series [in Russian], Fizmatgiz, Moscow (1961).
B. Ya. Levin, Distribution of Roots of Entire Functions [in Russian], Gostekhizdat. Moscow (1956).
N. Wiener and R. Paley, Fourier Transforms in the Complex Domain [Russian translation], Nauka, Moscow (1964).
V. V. Volchkov, “Uniqueness theorems for multiple lacunary trigonometric series,” Mat. Zametki, 51, No. 6, 27–31 (1992).
G. V. Badalyan, Quasipower Series and Quasianalytic Classes of Functions [in Russian], Nauka, Moscow (1990).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 11, pp. 1477–1481, November, 1998.
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Volchkov, V.V. Uniqueness theorems for multiple lacunary trigonometric series. Ukr Math J 50, 1686–1691 (1998). https://doi.org/10.1007/BF02524475
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DOI: https://doi.org/10.1007/BF02524475