Skip to main content
Log in

A Characteristic of the Points of Strong Summability of Fourier–Laplace Series for Functions of the Class L(S m) for a Critical Index

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We announce a result that gives a fairly constructive characteristic of the set of points of full measure on a sphere S m at which strong means converge to a given function f(·).

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.

Similar content being viewed by others

REFERENCES

  1. S. B. Topuriya, FourierJędrysekLaplace Series on a Sphere [in Russian], Tbilisi University, Tbilisi (1987).

    Google Scholar 

  2. V. V. Khocholava, “On strong summability of FourierJędrysekLaplace series of functions of the class L p(S k), p > 1,” Soobshch. Akad. Nauk GSSR, 97, No. 3, 573–576 (1980).

    Google Scholar 

  3. O. D. Gabisoniya, “On points of strong summability of Fourier series,” Mat. Zametki, 14, No. 5, 615–628 (1973).

    Google Scholar 

  4. I. Ya. Novikov and V. A. Rodin, “Characterization of points of p-strong summability of trigonometric Fourier series,” Izv. Vyssh. Uchebn. Zaved., 9, 58–62 (1988).

    Google Scholar 

  5. A. I. Stepanets and R. A. Lasuriya, “Strong summability of orthogonal expansions of summable functions. I, II,” Ukr. Mat. Zh., 48, No. 2, 260–277 (1996), No. 3, 393Jędrysek405 (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lasuriya, R.A. A Characteristic of the Points of Strong Summability of Fourier–Laplace Series for Functions of the Class L(S m) for a Critical Index. Ukrainian Mathematical Journal 54, 1742–1745 (2002). https://doi.org/10.1023/A:1023796623200

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1023796623200

Keywords

Navigation