Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900421 | Transactions of A. Razmadze Mathematical Institute | 2017 | 4 Pages |
Abstract
For illustration we consider the well known example of Ch. Fefferman's function F(x,y) whose double trigonometric Fourier series S[F] diverges everywhere in the sense of Prinsheim. Namely, we establish the simultaneous convergence of the one-dimensional Fourier series S[F]1 and S[F]2 at almost all points (x,y)â[âÏ,Ï]2 to the values F(x,y).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Omar Dzagnidze,