Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (3): 293-298.

• Articles • Previous Articles     Next Articles

The Singular Value Decomposition for Generalized Radon Transforms |in R^n

 WANG Jin-Ping   

  • Online:2004-06-22 Published:2004-06-22
  • Supported by:

    宁波大学博士科研启动基金资助项目

Abstract:

The singular value decompositions for the generalized Radon transforms are constructed when they are restricted to function spaces which are square integrable on R^n with known weight function W_n, some results about inverse transforms of the generalized Radon transforms are given.Furthermore, the inversion formulae and characteristics of their ranges are also developed.

Key words: Generalized Radon transform, Spherical harmonics function; , Singular value deco mposition(SVD).

CLC Number: 

  • 44A15
Trendmd