Analytic representation of functions and a new quasi-analyticity threshold
Abstract
We characterize precisely the possible rate of decay of the anti-analytic half of a trigonometric series converging to zero almost everywhere.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- June 2004
- DOI:
- 10.48550/arXiv.math/0406261
- arXiv:
- arXiv:math/0406261
- Bibcode:
- 2004math......6261K
- Keywords:
-
- Mathematics - Classical Analysis and ODEs;
- Mathematics - Complex Variables;
- 42A63;
- 42A50;
- 30B30;
- 42A61
- E-Print:
- 32 pages, published version