Literature Cited
A. M. Sedletskii, “Biorthogonal expansions in exponential functions,” Izv. Akad. Nauk SSSR, Ser. Matem.,36, No. 3, 583–590 (1972).
V. D. Golovin, “Bioorthogonal expansions in L2 in linear combinations of exponential functions,” Zap. Mekh.-Mat. Fak-ta Khar'k. Un-ta i Khar'k. Mat. O-va,30, Series 4, 18–29 (1964).
R. J. Duffin and A. C. Schaeffer, “A class of nonharmonic Fourier series,” Trans. Amer. Math. Soc.,72, No. 2, 341–366 (1952).
N. Levinson, Gap and Density Theorems, American Mathematics Society, New York (1940).
E. Titchmarsh, Introduction to the Theory of Fourier Integrals [Russian translation], Gostekhizdat, Moscow-Leningrad (1948).
S. Koizumi, “On the singular integrals. III” Proc. Japan Acad.,34, 594–598 (1958).
K. I. Babenko, “Conjugate functions,” Dokl. Akad. Nauk SSSR,62, No. 2, 157–160 (1948).
P. Butzer and R. Nessel, Fourier Analysis and Approximation, Vol. 1, New York (1971).
A. M. Sedletskii, “Interpolation in the spaces Hp in a half-plane,” Dokl. Akad. Nauk SSSR,208, No. 6, 1293–1295 (1973).
M. Plancherel and G. Polya, “Fonctions entières et intégrales de Fourier multiples,” Comment. Math. Helv.,10, No. 2, 110–163 (1938).
A. M. Sedletskii, “Nonharmonic Fourier series,” Sibirsk. Matem. Zh.,12, No. 5, 1100–1114 (1971).
A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 2, Nauka, Moscow (1968).
S. A. Avdonin, “On the question of Riesz bases consisting of exponential functions in L2,” Vestn. Leningr. un-ta, Ser. Matematika, Mekhanika, Astronomiya,3, No. 12, 5–13 (1974).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 4, pp. 820–829, July–August, 1975.
Rights and permissions
About this article
Cite this article
Sedletskii, A.M. Expansions in exponential functions. Sib Math J 16, 628–635 (1975). https://doi.org/10.1007/BF00967137
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967137