Inversion ofk-Plane Transforms via Continuous Wavelet Transforms

Journal of Mathematical Analysis and Applications

Volumn 220, Issue 1, 1998, Pages 187-203

  Rubin, B ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009318342     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5852     Document Type: Article

References (15)

1. Berenstein C. A., Walnut D. F. Local inversion of the Radon transform in even dimensions using wavelets. Gindikin S. G., Michor P. Proc. Conf., 75 Years of Radon Transform, Vienna, Austria, 1992. 1994;45-69 International Press, Hong Kong.
2. Gonzales F. B. On the range of the Radond. Trans. Amer. Math. Soc. 327:1991;601-619.
3. Helgason S. The Radon Transform. 1980;Birkhäuser, Boston.
4. Helgason S. Geometric Analysis on Symmetric Spaces. 1994;Amer. Math. Soc. Providence.
5. Holschneider M. Inverse Radon transforms through inverse wavelet transforms. Inverse Problems. 7:1991;853-861.
6. Keinert F. Inversion ofk. SIAM Rev. 31:1989;273-289.
7. Natterer F. The Mathematics of Computerized Tomography. 1986;Wiley, New York.
8. Rubin B. Fractional Integrals and Potentials. 1996;Addison-Wesley, Longman.
9. B. Rubin, Wavelet type representations of Riesz fractional derivatives, The Hebrew University of Jerusalem, 1995-1996.
10. B. Rubin, Inversion of Radon transforms using wavelet transforms generated by wavelet measures, Math. Scand.
11. p-spaces, J. Fourier Anal. Appl.
12. 2. J. Math. Anal. Appl. 51:1975;539-549.
13. Solmon D. C. A note onk. J. Math. Anal. Appl. 71:1979;351-358.
14. Stein E. M. Singular Integrals and Differentiability Properties of Functions. 1970;Princeton Univ. Press, Princeton.
15. Walnut D. Applications of Gabor and wavelet expansions to the Radon transform. Byrnes J. Probabilistic and Stochastic Methods in Analysis, with Applications. NATO ASI Series. 1992;187-205 Kluwer Academic, The Netherlands.