Advertisement

On the localization and convergence of multiple Fourier integral by Bochner-Riesz means

  • Yu Maohe
Article
  • 1 Downloads

Abstract

In this paper we consider\(\mathop {\lim }\limits_{x \to \infty } B_k^a (f,x_0 )\), in one case that fx 0 (t) is a ΛBMV function on [0, ∞], and in another case thatfεL 1 m-1(Rn) and\(\frac{{\partial ^k f}}{{\partial x^k }} \in BV(R^n )\) when |k|=m−1 and f(x)=0 when |x−x0|<δ for some δ>0. Our theormes improve the results of Pan Wenjie ([1]).

Keywords

Real Number Fourier Series Minimal Surface Integrable Function Monotonic Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Pan Wenjie, On the Localization and Convergence of Multiple Fourier Lntegrals by Spherical Means, Scientia Sinica, 25:4, (1982), 346–362.MATHMathSciNetGoogle Scholar
  2. [2]
    Lu Shanzhen and Wang Kunyang, Bochner-Riesz Means, Peking Normal University Press, 1986.Google Scholar
  3. [3]
    Shi Xianliang, OnΛBMV Function with Some Application to Theory of Fourier Series, Scientia Sinica, 28:2, (1985), 147–158.MATHMathSciNetGoogle Scholar
  4. [4]
    Giusti, E., Minimal Surfaces and Function of Bounder Variation, Bosto: Birkhauser, 1984.Google Scholar

Copyright information

© Springer 1993

Authors and Affiliations

  • Yu Maohe
    • 1
  1. 1.Kunming Hydropower Scientific Research InstituteKunmingP. R. China

Personalised recommendations