About summability of Fourier-Laplace series

Details About summability of Fourier-Laplace series About summability of Fourier-Laplace series

2008-08-04

arxiv.org/abs/0808.0352v1

Mathematics

Functional Analysis

10 pages

Scientific paper

In this paper we study the almost everywhere convergence of the expansions related to the self-adjoint extension of the Laplace operator. The sufficient conditions for summability is obtained. For the orders of Riesz means, which greater than critical index $\frac{N-1}{2}$ we established the estimation for maximal operator of the Riesz means. Note that when order $\alpha$ of Riesz means is less than critical index then for establish of the almost everywhere convergence requests to use other methods form proving negative results. We have constructed different method of summability of Laplace series, which based on spectral expansions property of self-adjoint Laplace-Beltrami operator on the unit sphere

Affiliated with

Also associated with

No associations

Rating

About summability of Fourier-Laplace series does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with About summability of Fourier-Laplace series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and About summability of Fourier-Laplace series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383942