p-Adic Multiwavelet Sets


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Abstract

This paper contains a brief review of p-adic MRA theory along with the introduction of p-adic multiwavelet set. Here we have studied various properties of p-adic multiwavelet sets such as disjointness of their dilates, counting formula for the elements in a wavelet set etc. and proved some results analogous to real setting, in special cases.

About the authors

Debasis Haldar

Department of Mathematics

Author for correspondence.
Email: debamath.haldar@gmail.com
India, Rourkela, Odisha, 769 008

Divya Singh

Department of Mathematics

Author for correspondence.
Email: divya_allduniv@yahoo.com
India, Rourkela, Odisha, 769 008

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