Skip to main content
SpringerLink
Log in

Lacunar series in multiplicative systems of functions. II

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. V. F. Gaposhkin, “Lacunar series in multiplicative systems of functions, I, ” Sibirsk. Matem. Zh.,12, No. 1 (1970).

  2. V. F. Gaposhkin, “Subsystems of periodic multiplicative systems of functions,” Usp. Matem. Nauk,24, No. 4, 191–197 (1969).

    Google Scholar 

  3. N. Ya. Vilenkin, “On a class of complete orthogonal systems,” Izv. AN SSSR, Seriya Matem.,13, 363–400 (1947).

    Google Scholar 

  4. N. Ya. Vilenkin, Supplements to S. Kaczmarz and H. Steinhaus's “Theory of Orthogonal Series” [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  5. N. Ya., Vilenkin, “On the theory of lacunar orthogonal systems,” Izv. AN SSSR, Seriya Matem.,13, 245–252 (1949).

    Google Scholar 

  6. A. Zygmund, “On a theorem of Hadamard,” Ann. Soc. Polon. Math.,21, No. 1, 52–69 (1948).

    Google Scholar 

  7. S. Kaczmarz and H. Steinhaus Theory of Orthogonal Series [Russian translation], Fizmatgiz, Moscow (1958).

    Google Scholar 

  8. S. Sidon, Uber orthogonalen Entwicklungen, Acta Szeged,10, 206–253 (1943).

    Google Scholar 

  9. S. B. Stechkin, “On the absolute convergence of Fourier Series, III,” Izv. AN SSSR, Seriya Matem.,20, 289–302 (1956).

    Google Scholar 

  10. G. Morgenthaler, “On Walsh-Fourier Series,” Trans. Am. Math. Soc.,84, No. 2, 472–507 (1957).

    Google Scholar 

  11. V. F. Gaposhkin, “On the question of the absolute convergence of lacunar series,” Izv. AN SSSR, Seriya Matem.,31, No. 6, 1271–1288 (1967).

    Google Scholar 

  12. W. Rudin, “Trigonometric series with gaps,” J. Math. and Mech.,9, No. 2, 203–227 (1960).

    Google Scholar 

  13. A. Zygmund, Trigonometric Series [Russian translation], Vol. 1, Mir, Moscow (1965).

    Google Scholar 

  14. V. F. Gaposhkin, “Lacunar series and independent functions,” Usp. Matem. Nauk21, No. 6, 3–82 (1966).

    Google Scholar 

  15. S. Karlin, “Orthogonal properties of independent functions,” Trans. Amer. Math. Soc.,66, 44–64 (1949).

    Google Scholar 

  16. M. Loév, Theory of Probability [Russian translation], IL, Moscow (1962).

    Google Scholar 

  17. W. Feller. “The general form of the so-called law of the iterated logarithm,” Trans. Amer. Math. Soc.,53, 373–401 (1943).

    Google Scholar 

Download references

Authors
  1. V. F. Gaposhkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 2, pp. 295–314, March–April, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gaposhkin, V.F. Lacunar series in multiplicative systems of functions. II. Sib Math J 12, 208–223 (1971). https://doi.org/10.1007/BF00969042

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969042

Keywords

Search

Navigation