Frame scaling function sets and frame wavelet sets in Rd

被引：3
|
作者：
Liu, Zhanwei [1 ]
Hu, Guoen [1 ]
Wu, Guochang [2 ]
机构：
[1] Univ Informat Engn, Dept Appl Math, Zhengzhou 450002, Henan, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Shanxi, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 05期
关键词：
HILBERT; BASES;
D O I：
10.1016/j.chaos.2007.10.042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we classify frame wavelet sets and frame scaling function sets in higher dimensions. Firstly, we obtain a necessary condition for it set to be the frame wavelet sets. Then, we present a necessary and sufficient condition for it set to be a frame scaling function set. We give a property of frame scaling function sets, too. Some corresponding examples are given to prove our theory in each section. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2483 / 2490
页数：8
相关论文
共 50 条
  • [41] The canonical frame of a wavelet frame generated by two functions
    Luo, Ping
    Guo, Ming-Pu
    2007 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1-4, PROCEEDINGS, 2007, : 1708 - 1712
  • [42] Astrocut: A Cutout Service for TESS Full-Frame Image Sets
    Brasseur, C. E.
    Phillip, Carlita
    Hargis, Jonathan
    Mullally, Susan
    Fleming, Scott
    Fox, Mike
    Smith, Arfon
    ASTRONOMICAL DATA ANALYSIS SOFTWARE AND SYSTEMS XXVIII, 2019, 523 : 397 - 400
  • [43] Frame wavelet set and frequency frame wavelet in L2(Rn)
    Yadav, G. C. S.
    Kumar, Arun
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (02)
  • [44] RESPONSE SETS ON ROD-AND-FRAME TEST IN NEUROLOGICALLY IMPAIRED SS
    TRITES, RL
    PERCEPTUAL AND MOTOR SKILLS, 1969, 29 (01) : 327 - &
  • [45] PERCEPTUAL RESPONSE SETS ON ROD-AND-FRAME TASK IN A COLLEGE SAMPLE
    HELLKAMP, DT
    PERCEPTUAL AND MOTOR SKILLS, 1968, 27 (02) : 591 - &
  • [46] On Supersets of Wavelet Sets
    Viriyapong, C.
    Sumetkijakan, S.
    ACTA APPLICANDAE MATHEMATICAE, 2009, 107 (1-3) : 173 - 193
  • [47] The Standard Dual Frame of a Wavelet Frame Generated by Two Functions
    Zhou, Jianfeng
    Li, Tizheng
    ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS, 2008, : 277 - +
  • [48] On Supersets of Wavelet Sets
    C. Viriyapong
    S. Sumetkijakan
    Acta Applicandae Mathematicae, 2009, 107 : 173 - 193
  • [49] Wavelet sets in ℝn
    Xingde Dai
    David R. Larson
    Darrin M. Speegle
    Journal of Fourier Analysis and Applications, 1997, 3 : 451 - 456
  • [50] General frame multiresolution analysis and its wavelet frame representation
    Li, M
    Ogawa, H
    Yamashita, Y
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1996, E79A (10) : 1713 - 1721
12345