Convolution kernels in Clifford analysis

被引：0
|
作者：
Brackx, F [1 ]
De Schepper, H [1 ]
机构：
[1] Ghent Univ, Fac Engn, Clifford Res Grp, B-9000 Ghent, Belgium
来源：
ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004 | 2004年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New singular integral operators are constructed involving the so-called spherical monogenics of Clifford analysis, as special cases of broad families of Clifford convolution operators. They constitute refinements of the classical singular integral operators involving spherical harmonics and give rise to generalized Hilbert transforms. (c) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.
引用
收藏
页码：486 / 489
页数：4
相关论文
共 50 条
  • [1] Convolution kernels in Clifford analysis: Old and new
    Brackx, F
    De Schepper, H
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2005, 28 (18) : 2173 - 2182
  • [2] SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS
    F.BRACKX
    R.DELANGHE
    F.SOMMEN
    ChineseAnnalsofMathematics, 2003, (02) : 133 - 146
  • [3] Spherical means, distributions and convolution operators in Clifford analysis
    Brackx, F
    Delanghe, R
    Sommen, F
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2003, 24 (02) : 133 - 146
  • [4] Bergman kernels for rectangular domains and multiperiodic functions in Clifford analysis
    Constales, D
    Krausshar, RS
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2002, 25 (16-18) : 1509 - 1526
  • [5] CONVOLUTION WITH ODD KERNELS
    ONEIL, R
    STUDIA MATHEMATICA, 1972, 44 (06) : 517 - 526
  • [6] Dynamic Convolution: Attention over Convolution Kernels
    Chen, Yinpeng
    Dai, Xiyang
    Liu, Mengchen
    Chen, Dongdong
    Yuan, Lu
    Liu, Zicheng
    2020 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR 2020), 2020, : 11027 - 11036
  • [7] Convolution of Convolution: Let Kernels Spatially Collaborate
    Zhao, Rongzhen
    Li, Jian
    Wu, Zhenzhi
    2022 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION (CVPR 2022), 2022, : 641 - 650
  • [8] CONVOLUTION WITH OSCILLATING-KERNELS
    SJOLIN, P
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (01) : 47 - 55
  • [9] Convolution kernels for Natural Language
    Collins, M
    Duffy, N
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 14, VOLS 1 AND 2, 2002, 14 : 625 - 632
  • [10] Symmetric Decomposition of Convolution Kernels
    Ou, Jun
    Li, Yujian
    IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2019, E102D (01) : 219 - 222
12345