Literature cited
N. K. Bari, A Treatise on Trigonometric Series, Pergamon Press, Oxford-New York (1964).
B. Ya. Levin, Distribution of Roots of Entire Functions [in Russian], Gostekhizdat, Moscow (1956).
N. Wiener and R. E. A. C. Paley, Fourier Transforms in the Complex Domain, American Mathematical Society, New York (1934).
J. R. Patadia, “Local theorems for the absolute convergence of multiple lacunary Fourier series,” Math. Ann.,271, No. 1, 81–89 (1985).
V. V. Volchkov, “Theorems on averages for some differential equations,” Donetsk State University, Donetsk (1991). Submitted to UkrNIINTI 06.03.91, No. 301-Uk91.
E. M. Stein and G. L. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N.J. (1971).
V. V. Volchkov, “Functions with null integrals on certain sets,” Donetsk State University, Donetsk (1990). Submitted to UkrNIINTI 24.10.90, No. 1748-Uk90.
S. Helgason, Groups and Geometric Analysis: Integral Geometry, Invariant Differential Operators, and Spherical Functions, Academic Press, New York (1984).
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Translated from Matematicheskie Zametki, Vol. 51, No. 6, pp. 27–31, June, 1992.
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Volchkov, V.V. Uniqueness theorems for multiple lacunary trigonometric series. Math Notes 51, 550–552 (1992). https://doi.org/10.1007/BF01263296
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DOI: https://doi.org/10.1007/BF01263296