Frame wavelet set and frequency frame wavelet in L2(Rn)

被引：0
|
作者：
Yadav, G. C. S. [1 ]
Kumar, Arun [1 ]
机构：
[1] Univ Allahabad, Dept Math, Prayagraj 211002, Uttar Pradesh, India
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 02期
关键词：
Wavelets; Frame wavelet; Frame wavelet sets; Frequency domain; Frequency frame wavelet;
D O I：
10.1007/s11868-023-00511-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a necessary condition for a measurable subset of R-n to be a frame wavelet set. Some examples are constructed with the help of this result. Next, we prove a condition under which a function psi becomes a frequency frame wavelet in L-2(R-n).
引用
收藏
页数：15
相关论文
共 50 条
  • [31] Frame wavelet sets in Rd
    Dai, X
    Diao, Y
    Gu, Q
    Han, D
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 155 (01) : 69 - 82
  • [32] OVERSAMPLED FRAME ALGORITHMS FOR REAL-TIME WAVELET AND WAVELET PACKET FRAME DECOMPOSITIONS AND RECONSTRUCTIONS
    CHUI, CK
    [J]. OPTICAL ENGINEERING, 1994, 33 (07) : 2108 - 2110
  • [33] Frame scaling function sets and frame wavelet sets in Rd
    Liu, Zhanwei
    Hu, Guoen
    Wu, Guochang
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (05) : 2483 - 2490
  • [34] The Standard Dual Frame of a Wavelet Frame Generated by Two Functions
    Zhou, Jianfeng
    Li, Tizheng
    [J]. ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 4, PROCEEDINGS, 2008, : 277 - +
  • [35] General frame multiresolution analysis and its wavelet frame representation
    Li, M
    Ogawa, H
    Yamashita, Y
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1996, E79A (10) : 1713 - 1721
  • [36] Frame adaptive spatial wavelet transform for interframe wavelet coding
    Jeong, S
    Lee, I
    Kim, W
    Kim, K
    Kim, J
    [J]. Proceedings of the Sixth IASTED International Conference on Signal and Image Processing, 2004, : 304 - 307
  • [37] Continuous Wavelet Transform of Schwartz Distributions in D′L2(Rn), n ≥ 1
    Pandey, Jagdish N.
    [J]. SYMMETRY-BASEL, 2021, 13 (07):
  • [38] Fractional Wavelet Frames in L2(ℝ)
    Firdous A. Shah
    Lokenath Debnath
    [J]. Fractional Calculus and Applied Analysis, 2018, 21 : 399 - 422
  • [39] HIGH-PERFORMANCE VERY LOCAL RIESZ WAVELET BASES OF L2(Rn)
    Hur, Youngmi
    Ron, Amos
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (04) : 2237 - 2265
  • [40] WAVELET FRAMES IN L2 (Rd)
    Poumai, Khole Timothy
    Kaushik, Shiv Kumar
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (02) : 677 - 692
12345