p-adic Shearlets

Document Type : Research Paper


1 Depatrment of pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman

2 Depatrment of Mathematics Graduate University of Advanced Technology



The field $Q_{p}$ of $p$-adic numbers is defined as the completion of the field of the rational numbers $Q$ with respect to the  $p$-adic norm $|.|_{p}$. In this paper, we study the continuous and discrete $p-$adic shearlet systems on $L^{2}(Q_{p}^{2})$. We also suggest discrete $p-$adic shearlet frames. Several examples are provided.


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