Khayyam Journal of Mathematics

Khayyam Journal of Mathematics

Multiframelet sets on p-adic numbers

Document Type : Original Article

Author
Department of Mathematics, Techno Main Salt Lake, EM 4/1, Sector 5, Saltlake, Kolkata 700091, India
Abstract
This article explores various findings on multiframelets and multiframelet sets over one-dimensional p-adic numbers. A multiframelet is a sequence that resembles a frame, generated by a finite number of functions with a wavelet structure. Here multiframelet sets are studied extensively on Qp with accompanying examples. It is known that a multiwavelet is a generator of a multiframelet, and as a result, a multiwavelet set is also a multiframelet set. However, the converse is not always true, as demonstrated in this article.
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