Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (3): 636-643.

• Articles • Previous Articles     Next Articles

Inversion and Property Characterization on Generalized Transforms of Radon Type

 WANG Jin-Ping   

  1. Department of Mathematics, Ningbo University, Zhejiang Ningbo 315211
  • Received:2009-10-22 Revised:2010-12-10 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    国家自然科学基金(60872095)、宁波市自然科学基金(2008A610018)和宁波市科研基金(2009B21003)资助

Abstract:

In this paper, the inversion formula and properties of generalized transforms of Radon type are discussed. Moreover, the numerical inversion is developed. Furthermore, the results of  Radon transform and exponential Radon transform in R2 are extended to $R^n$.

Key words: Exponential Radon transform, Generalized transforms of Radon type, Inversion formula, Numerical inversion

CLC Number: 

  • 44A15
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