Objectives of this paper are to study convergence and summability of the Fourier-Laplace
series in the spaces of singular distributions. The Cezaro means employed for summation of …

The approximation of the solution of the heat equation by using the spectral decompositions
of the distributions on circular region where initially heat source concentrated at a point is …

In this paper, we deal with the problems of the expansions of the periodic distributions. We
obtained sufficient conditions for the equiconvergence of the spectral decompositions of the …

Convergence problems has been the focus of interest for researchers that are working in the
fields of spectral theory. In the current research we investigate issues relating to the …

In this paper we deal with the problems of the weak localization of the eigenfunction
expansions related to Laplace-Beltrami operator on unit sphere. The conditions for weak …

On the Riesz Summability of the Eigenfunction Expansions on a Closed Domain Page 1
Filomat 33:16 (2019), 5199–5205 https://doi.org/10.2298/FIL1916199R Published by Faculty …

This article investigates a function f (x), constructed from the Nikol'skii class in S 2. The
estimation obtained will show that the Riesz mean of the spectral expansions is unable to be …

In the present thesis we deal with summability and localization problems connected to
eigenfunction expansions of the polyharmonic operator on the closed domain. There are …

The mathematical models of the heat and mass transfer processes on the ball type solids
can be solved using the theory of convergence of Fourier-Laplace series on unit sphere …