Term of Award

Spring 2013

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)


Department of Mathematical Sciences

Committee Chair

Alexander Stokolos

Committee Member 1

Goran Lesaja

Committee Member 2

Shijun Zheng


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.