Multiframelet Properties on ${\mathbb{Q}}_p$

Abstract

This paper produces various results on $p$-adic multiframelet. Multiframelet is a frame-like sequence generated by multiple functions along with wavelet structure. Various properties of multiframelet in $L^2({\mathbb{Q}}_p)$ have been analyzed. Also multiframelet operator on $p$-adic setting has been produced and characterized. Furthermore, multiframelet set in ${\mathbb{Q}}_p$ has been engendered and scrutinized.

11 pages