Characterization of Nonhomogeneous Wavelet Bi-frames for Reducing Subspaces of Sobolev Spaces over Local Fields of Prime Characteristics

TL;DR

This paper characterizes nonhomogeneous wavelet bi-frames in Sobolev spaces over local fields of prime characteristics, introducing reducing subspaces and providing a mathematical framework for their analysis.

Contribution

It introduces the concept of reducing subspaces in Sobolev spaces over local fields and characterizes nonhomogeneous wavelet bi-frames within this context.

Findings

Characterization of nonhomogeneous wavelet bi-frames over local fields.

Introduction of reducing subspaces for Sobolev spaces.

Mathematical framework for wavelet bi-frames in prime characteristic fields.

Abstract

In this paper, we provide the characterization of nonhomogeneous wavelet bi-frames. First of all we introduce the reducing subspaces of Sobolev spaces over local fields of prime characteristics and then characterize the nonhomogeneous wavelet bi frames over such fields.