Abstract
Complementary spaces for Fourier series were introduced by G. Goes and generalized by M. Tynnov. In this paper we investigate a notion of complementary space for double Fourier series of functions of bounded variation. Various applications are given.
| Original language | English |
|---|---|
| Pages (from-to) | 706-721 |
| Number of pages | 16 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 250 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Oct 2000 |
Bibliographical note
Funding Information:1The authors acknowledge the support of the Minerva Foundation in Germany through the Emmy Noether Institute at Bar-Ilan University.
Funding
1The authors acknowledge the support of the Minerva Foundation in Germany through the Emmy Noether Institute at Bar-Ilan University.
| Funders | Funder number |
|---|---|
| Emmy Noether Research Institute for Mathematics | |
| Minerva Foundation |
Keywords
- Bounded variation
- Complementary space
- Double Fourier series
- Multiplier
- Summability