Skip to main content
Log in

Sets of relative uniqueness for Fourier transform and integrals

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. G. G. Gevorkyan, “On the sets of uniqueness for complete orthonormal systems and Fourier integrals,” Dokl. Akad. Arm. SSR,72, No. 4, 218–223 (1981).

    Google Scholar 

  2. G. G. Gevorkyan, “On the sets of uniqueness for Fourier integrals,” Dokl. Akad. Nauk Arm. SSR,73, No. 4, 211–218 (1981).

    Google Scholar 

  3. Y. Katznelson, “Sets of uniqueness for some classes of trigonometric series,” Bull. Am. Math. Soc.,70, No. 5, 722–723 (1964).

    Google Scholar 

  4. L. Colzani, “Sets of uniqueness ofl p for general orthonormal complete systems,” Boll. Unione Math. Ital.,16B, No. 5, 1134–1143 (1979).

    Google Scholar 

  5. L. Colzani, “Existence of sets of uniqueness ofl p for general orthonormal systems,” Proc. Am. Math. Soc.,83, No. 3, 569–572 (1981).

    Google Scholar 

  6. G. G. Gevorkyan, “On the sets of uniqueness for complete orthonormal systems,” Mat. Zametki,32, No. 5, 651–656 (1982).

    Google Scholar 

  7. L. Michele and P. M. Soarde, “A remark on sets of uniqueness ofl p,” Boll. Unione Math. Ital.,11, No. 1, 64–65 (1975).

    Google Scholar 

  8. G. G. Gevorkyan, “On the sets of uniqueness for series with respect to certain complete orthonormal systems,” Uch. Zap./Erevan. Gos. Univ., No. 2, 10–22 (1981).

    Google Scholar 

  9. G. G. Gevorkyan, “On the sets of uniqueness for certain orthogonal series,” Dokl. Akad. Nauk Arm. SSR,76, No. 3, 151–153 (1983).

    Google Scholar 

  10. A. A. Talalyan, “On the representation of meaurable functions by integrals with the kernels of unitary transformations of the space L2 (0, ∞),” Mat. Sb.,53, No. 3, 287–312 (1961).

    Google Scholar 

  11. I. P. Natanson, Theory of Functions of a Real Variable [in Russian], Gosudarstvennoe Izd. Tekhnikoteoreticheskoi Literatury, Moscow (1957).

    Google Scholar 

  12. A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press (1959).

Download references

Authors

Additional information

Erevan. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 26, No. 5, pp. 47–61, September–October, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gevorkyan, G.G. Sets of relative uniqueness for Fourier transform and integrals. Sib Math J 26, 665–677 (1985). https://doi.org/10.1007/BF00969025

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969025

Keywords

Navigation