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Literature cited
V. I. Gorbachuk and M. L. Gorbachuk, Boundary Problems for Differential-Operator Equations [in Russian], Naukova Dumka, Kiev (1984).
Sh. A. Alimov, V. A. Ul'in, and E. I. Nikishin, “Problems of convergence of multiple trigonometric series and spectral decompositions,” Usp. Mat. Nauk,31, No. 6, 28–83 (1976).
B. I. Golubov, “On an Abel-Poisson type summation method for multiple Fourier integrals,” Mat. Sb.,108, No. 2, 229–246 (1979).
I. G. Izvekov, “Riemann localization principle for Fourier series in spaces of generalized functions,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2, 5–8 (1986).
E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton (1971).
B. I. Golubov, “On rate of convergence of integrals of Gauss-Weierstrass type for functions of many variables,” Izv. Akad. Nauk SSSR, Ser. Mat.,44, No. 6, 1255–1278 (1980).
V. V. Gorodetskii, “Localization principle for solutions of a Cauchy problem for systems parabolic in the Petrovskii sense in classes of generalized functions,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 10, 5–7 (1984).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 6, pp. 831–835, June, 1989.
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Gorodetskii, V.V. Summation of formal Fourier series by methods of Gauss-Weierstrass type. Ukr Math J 41, 715–717 (1989). https://doi.org/10.1007/BF01060578
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DOI: https://doi.org/10.1007/BF01060578