Abstract
Our aim is to obtain conditions for the extension of a function to be an entire function on the complex plane or to be an analytic function on strip domains in terms of the wavelet coefficients. Our results are a new characterization of the Bergman space on strip domains and an improvement on the paper [5] "A. I. Zayed and G. G. Walter, Characterization of analytic functions in terms of their wavelet coefficients, Complex Variables Theory Appl. 29 (1996), 265-276.".
| Original language | English |
|---|---|
| Pages (from-to) | 867-880 |
| Number of pages | 14 |
| Journal | Complex Analysis and Operator Theory |
| Volume | 3 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 1 2009 |
Keywords
- Bergman space
- Wavelet coefficient
- Wavelet expansion
ASJC Scopus subject areas
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics