Discrete wave packets on non-Archimedean fields
نویسندگان
1 Department of Mathematics, National Institute of Technology, Srinagar-190006, India
2 Department of Mathematics, National Institute of Technology, Srinagar-190006, India
3 Department of Mathematics, National Institute of Technology, Srinagar-190006, India
doi
10.22075/ijnaa.2022.23685.2581چکیده
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.
