On a Radon transform

被引：0
|
作者：
Gots, Ekaterina [1 ]
Lyakhov, Lev [2 ]
机构：
[1] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland
[2] Voronezh State Technol Acad, Voronezh, Russia
来源：
OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS | 2008年 / 181卷
关键词：
radon transform; inversion formulas; B-hypersingular integrals;
D O I：
10.1007/978-3-7643-8684-9_8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article a special type of Radon transform (Kipriyanov-Radon transform K-gamma) is considered and some properties of this transform are proved. The main results of this work are the inversion formulas of K-gamma, which were obtained with a help of general B-hypersingular integrals.
引用
收藏
页码：187 / +
页数：2
相关论文
共 50 条
  • [41] Properties of the fractional (exponential) Radon transform
    Moon, Sunghwan
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (12) : 923 - 939
  • [42] Radon transform on spaces of constant curvature
    Berenstein, CA
    Casadio Tarabusi, E
    Kurusa, A
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (02) : 455 - 461
  • [43] QUANTUM TOMOGRAPHY AND THE QUANTUM RADON TRANSFORM
    Ibort, Alberto
    Lopez-Yela, Alberto
    INVERSE PROBLEMS AND IMAGING, 2021, 15 (05) : 893 - 928
  • [44] The Lagrangian Radon Transform and the Weil Representation
    Giuseppe Marmo
    Peter W. Michor
    Yury A. Neretin
    Journal of Fourier Analysis and Applications, 2014, 20 : 321 - 361
  • [45] Image recognition using Radon transform
    Li, JH
    Pan, Q
    Zhang, HC
    Cui, PL
    2003 IEEE INTELLIGENT TRANSPORTATION SYSTEMS PROCEEDINGS, VOLS. 1 & 2, 2003, : 741 - 744
  • [46] THE DUAL HOROSPHERICAL RADON TRANSFORM FOR POLYNOMIALS
    Hilgert, J.
    Pasquale, A.
    Vinberg, E. B.
    MOSCOW MATHEMATICAL JOURNAL, 2002, 2 (01) : 113 - 126
  • [47] A REMARK ON THE WEIGHTED RADON TRANSFORM ON THE PLANE
    Gindikin, Simon
    INVERSE PROBLEMS AND IMAGING, 2010, 4 (04) : 649 - 653
  • [48] The first 100 years of the Radon transform
    Ramlau, Ronny
    Scherzer, Otmar
    INVERSE PROBLEMS, 2018, 34 (09)
  • [49] The Radon transform intertwines wavelets and shearlets
    Bartolucci, Francesca
    De Mari, Filippo
    De Vito, Ernesto
    Odone, Francesca
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2019, 47 (31) : 822 - 847
  • [50] Face Recognition Using Radon Transform
    Albu, Razvan-Daniel
    2015 IEEE 21ST INTERNATIONAL SYMPOSIUM FOR DESIGN AND TECHNOLOGY IN ELECTRONIC PACKAGING (SIITME), 2015, : 103 - 106
12345