On Approximation by Tight Wavelet Frames on the Field of $$p$$ -Adic Numbers

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-03-01 DOI:10.1134/s2070046624010059

引用次数: 0

Abstract

We discuss the problem on approximation by tight wavelet frames on the field $\mathbb{Q}_p$ of $p$ -adic numbers. For tight frames in the field $\mathbb{Q}p$ , constructed earlier by the authors, we obtain approximation estimates for functions from Sobolev spaces with logarithmic weight.

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关于在$$p$$-自变数域上用紧小波框架进行逼近计算

摘要我们讨论了在$\mathbb{Q}_p$域上$\mathbb{Q}_p$-adic数的紧小波框架的近似问题。对于作者早先构造的域（\mathbb{Q}p\ ）中的紧小波框架，我们从具有对数权重的 Sobolev 空间中得到了函数的近似估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.