Term of Award

Spring 2013

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Department

Department of Mathematical Sciences

Committee Chair

Alexander Stokolos

Committee Member 1

Goran Lesaja

Committee Member 2

Shijun Zheng

Abstract

In this thesis, we give the brief description of two most important tests of Fourier series namely Dini-Dirichel and Kolmogorov-Seliverstov-Plessner test. We develop further some results of L.V. Zhizhiashvili to obtain a multidimensional anisotropic version of the Kolmogorov-Seliverstov-Plessner test on convergence almost everywhere and negative C-summabilities of the Fourier series.

Research Data and Supplementary Material

No

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