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Discrete wave packets on non-Archimedean fields | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 27 آبان 1403 اصل مقاله (449.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23685.2581 | ||
| نویسندگان | ||
| Ishtaq Ahmed* ؛ Owais Ahmad؛ Neyaz Ahmad | ||
| Department of Mathematics, National Institute of Technology, Srinagar-190006, India | ||
| تاریخ دریافت: 24 خرداد 1400، تاریخ بازنگری: 27 تیر 1400، تاریخ پذیرش: 27 اسفند 1400 | ||
| چکیده | ||
| In this paper, we introduce a comprehensive theory of discrete wave packet systems on non-Archemedean fields by exploiting the machinery of Fourier transforms. We also define discrete periodic wave packet transform. A characterization of the system to be a Parseval frame and discrete periodic wave packet frame for $\ell^2(\mathcal Z)$ are obtained. | ||
| کلیدواژه‌ها | ||
| Wave packet frame؛ Non-Archimedean field؛ Discrete Fourier transform؛ Parseval frame | ||
| مراجع | ||
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