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(·).
Similar content being viewed by others
REFERENCES
S. B. Topuriya, FourierJędrysekLaplace Series on a Sphere [in Russian], Tbilisi University, Tbilisi (1987).
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).
O. D. Gabisoniya, “On points of strong summability of Fourier series,” Mat. Zametki, 14, No. 5, 615–628 (1973).
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).
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).
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1023/A:1023796623200