On the Equiconvergence of the Fourier Series and Integral of Distributions - Journal of Applied Mathematics and Physics

JAMP > Vol.3 No.11, November 2015

Journal of Applied Mathematics and Physics

Volume 3, Issue 11 (November 2015)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

On the Equiconvergence of the Fourier Series and Integral of Distributions ()

HTML XML

Download as PDF (Size: 322KB) PP. 1361-1366

DOI: 10.4236/jamp.2015.311163 2,439 Downloads 3,403 Views Citations

Author(s)

A. A. Rakhimov

Affiliation(s)

Department of Science in Engineering, International Islamic University Malaysia (IIUM), Kuala Lumpur, Malaysia.

ABSTRACT

We prove equiconvergence of the Bochner-Riesz means of the Fourier series and integral of distributions with compact support from the Liouville spaces.

KEYWORDS

Bochner-Riesz Means, Fourier Series, Fourier Integrals, Distributions, Equiconvergence

Share and Cite:

Rakhimov, A. (2015) On the Equiconvergence of the Fourier Series and Integral of Distributions. Journal of Applied Mathematics and Physics, 3, 1361-1366. doi: 10.4236/jamp.2015.311163.

Cited by

[1]	On the equiconvergence of the spectral decomposition of the distributions connected with elliptic differential operators on the torus with Fourier integral
	Journal of Physics …, 2021

[2]	Equiconvergence in Summation Associated with Elliptic Polynomial
	Journal of Physics: Conference Series, 2017