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] NONUNIQUENESS FOR THE RADON-TRANSFORM
    ARMITAGE, DH
    GOLDSTEIN, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (01) : 175 - 178
  • [42] MULTIVARIATE INTERPOLATION AND THE RADON TRANSFORM
    CAVARETTA, AS
    MICCHELLI, CA
    SHARMA, A
    MATHEMATISCHE ZEITSCHRIFT, 1980, 174 (03) : 263 - 279
  • [43] The Radon transform in texture analysis
    Bernstein, S
    ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 482 - 485
  • [44] RADON TRANSFORM FOR HIGHER DIMENSIONS
    DEANS, SR
    PHYSICS IN MEDICINE AND BIOLOGY, 1978, 23 (06): : 1173 - 1175
  • [45] The Radon Transform and Medical Imaging
    Kurusa, Arpad
    ACTA SCIENTIARUM MATHEMATICARUM, 2016, 82 (1-2): : 347 - 347
  • [46] THE RADON-TRANSFORM ON TREES
    BETORI, W
    PAGLIACCI, M
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1986, 5B (01): : 267 - 277
  • [47] Inverse Radon Transform at Work
    Gabdrakhmanov, I. R.
    Mueller, D.
    Teryaev, O., V
    PHYSICS OF PARTICLES AND NUCLEI LETTERS, 2019, 16 (06) : 625 - 637
  • [48] Inversion of the attenuated Radon transform
    Natterer, P
    INVERSE PROBLEMS, 2001, 17 (01) : 113 - 119
  • [49] Continuity of the generalized Radon transform
    Wuhan Shuili Dianli Daxue Xuebao, 6 (143-147):
  • [50] Mesoopties and circular Radon transform
    Kotlyar, VV
    Kovalev, AA
    Saratov Fall Meeting 2004: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling V, 2005, 5773 : 97 - 105
12345