Discrete Riesz MRA on local fields of positive characteristic
arXiv:1703.07536h-index: 8
Originality Synthesis-oriented
AI Analysis
This work provides a theoretical foundation for wavelet analysis on local fields of positive characteristic, which is a specialized domain in harmonic analysis.
The paper constructs a Riesz multiresolution analysis (MRA) on local fields of positive characteristic and provides scaling step functions that generate it, extending wavelet theory to these fields.
We propose a method to construct Riesz MRA on local fields of positive characteristic and corresponding scaling step functions that generate it.