In this article, we establish theory of Parseval framelets associated to generalized
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …

The concept of super‐wavelet was introduced by Balan, and Han and Larson over the field
of real numbers which has many applications not only in engineering branches but also in …

为解决台区识别问题, 引入小波框架的基本理论为依据, 使各智能电能表在使用相同的一个小波
框架, 分别对自身采集的电压数据进行塔式分解, 并对分解子信号进行分帧处理后计算其能量的 …

Wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …

Abstract Ahmad and Shiekh in Filomat 34: 6 (2020), 2091-2099 have constructed dual
wavelet frames in Sobolev spaces on local fields of positive characteristic. We continued the …

Abstract Bhat in Annal. Univ. Craiova, Math. Comp. Scien. Series 49: 2 (2022), 401-410 has
studied nonhomogeneous wavelet bi-frames in Sobolev spaces on local fields of positive …

To address the issue of online monitoring of the remaining power (RP) in disposable lithium
thionyl chloride batteries in smart meters, a voltage signal acquisition circuit has been added …

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 …

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 …

In this chapter, we introduce the concepts of multiresolution analysis (MRA) and wavelet in a
local field K of positive characteristic. An MRA is a sequence of closed subspaces of L^ 2 (K) …