On scaling functions of non-uniform multiresolution analysis in L-2(R)

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On scaling functions of non-uniform multiresolution analysis in L-2(R)

机译：在L-2（R）中非均匀多分辨率分析的缩放功能

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摘要

The main purpose of this paper is to provide a characterization of scaling functions for non-uniform multiresolution analysis (NUMRA, in short). Some necessary and sufficient conditions for scaling functions of wavelet NUMRA in the frequency domain are also obtained.

机译：本文的主要目的是提供用于非均匀多分辨率分析的缩放功能的表征（Numra，简称）。还获得了频域中小波Numra的缩放功能的一些必要和充分条件。

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《International Journal of Wavelets, Multiresolution and Information Processing》 |2020年第2期|共14页
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正文语种 eng
中图分类计算技术、计算机技术;
关键词
Non-uniform multiresolution analysis; scaling function; spectral pair;

机译：非均匀的多分辨率分析;缩放功能;光谱对;

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1. On scaling functions of non-uniform multiresolution analysis in L-2(R) [J] . International Journal of Wavelets, Multiresolution and Information Processing . 2020,第2期

机译：在L-2（R）中非均匀多分辨率分析的缩放功能
2. Characterization of scaling functions in a multiresolution analysis [J] . Cifuentes P, Kazarian KS, San Antolin A Proceedings of the American Mathematical Society . 2005,第4期

机译：多分辨率分析中缩放函数的表征
3. Scaling-function based multiresolution time domain analysis of planar printed millimetre-wave integrated cricuits [J] . Q.Cao, Y.Chen IEE Proceedings. Part H . 2001,第3期

机译：平面印刷毫米波集成电路的基于缩放函数的多分辨率时域分析
4. Convergence analysis of Runge-Kutta multiresolution time-domain scheme based on the Coifman scaling function [C] . Chen Xinlei, Cao Qunsheng 2009 3rd IEEE international symposium on microwave, antenna, propagation and EMC technologies for wireless communications : Proceedings . 2009

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5. Multiresolution Green's function methods for interactive simulation of large-scale elastostatic objects and other physical systems in equilibrium. [D] . James, Douglas Leonard. 2001

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6. Revealing Relationships Among Cognitive Functions Using Functional Connectivity and a Large-Scale Meta-Analysis Database [O] . Hiroki Kurashige, Jun Kaneko, Yuichi Yamashita, 2019

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7. Fractional multiresolution analysis and associated scaling functions in $$L^{2}({mathbb {R}})$$ [O] . Owais Ahmad, Neyaz A. Sheikh, Firdous A. Shah 2021

机译：$$ l ^ {2}中的分数多分辨率分析和相关的缩放功能（{ mathbb {r}}）$$

On scaling functions of non-uniform multiresolution analysis in L-2(R)

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