Discrete wave packets on non-Archimedean fields

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^۲(\mathcal Z) are obtained.

کلیدواژه ها:

Wave packet frame ، Non-Archimedean field ، Discrete Fourier transform ، Parseval frame