Abstract
In the present paper, we consider sampling theorems on Banach function spaces. Here we obtain a necessary and sufficient condition. For the latter half of the paper, we consider sampling theorems in terms of wavelets.
| Original language | English |
|---|---|
| Pages (from-to) | 269-287 |
| Number of pages | 19 |
| Journal | Tokyo Journal of Mathematics |
| Volume | 36 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jun 2013 |
| Externally published | Yes |
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Keywords
- A weight
- Banach function space
- Sampling theorem
- Variable exponent
- Wavelet
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Izuki, M., & Sawano, Y. (2013). A criterion of sampling theorems on banach function spaces. Tokyo Journal of Mathematics, 36(1), 269-287. https://doi.org/10.3836/tjm/1374497524