Frames play significant role as redundant building blocks in distributed signal processing. Getting inspirations from this concept, Bemrose et al. produced the notion of weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving K-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator K. This article presents a flavor of weaving multiframelets. Various properties of weaving multiframelets are explored in the p -adic number field. Furthermore, several characterizations of p -adic weaving multiframelets have been analyzed.

Multiresolution analysis is a mathematical tool used to decompose functions in different resolution subspaces, where the scaling function plays a key role to construct the nested subspaces in L(R) . This paper presents a generalization of the same in L(Q) , called frame multiresolution analysis (FMRA). So FMRA is a generalization of multiresolution analysis with frame condition. We study various properties of FMRA including characterizations in L(Q) . Furthermore, frame scaling sets are studied with examples.