Voir la notice de l'article provenant de la source Cambridge University Press
He, Jianxun. An Inversion Formula of the Radon Transform on the Heisenberg Group. Canadian mathematical bulletin, Tome 47 (2004) no. 3, pp. 389-397. doi: 10.4153/CMB-2004-038-9
@article{10_4153_CMB_2004_038_9,
author = {He, Jianxun},
title = {An {Inversion} {Formula} of the {Radon} {Transform} on the {Heisenberg} {Group}},
journal = {Canadian mathematical bulletin},
pages = {389--397},
year = {2004},
volume = {47},
number = {3},
doi = {10.4153/CMB-2004-038-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-038-9/}
}
TY - JOUR AU - He, Jianxun TI - An Inversion Formula of the Radon Transform on the Heisenberg Group JO - Canadian mathematical bulletin PY - 2004 SP - 389 EP - 397 VL - 47 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-038-9/ DO - 10.4153/CMB-2004-038-9 ID - 10_4153_CMB_2004_038_9 ER -
[1] [1] Feichtinger, H. G. and Gröchenig, K. H., Banach Spaces Related to Integrable Group Representations and Their Atomic Decompositions. J. Funct. Anal. 86 (1989), 307–340. Google Scholar
[2] [2] Geller, D., Fourier Analysis on the Heisenberg Group I. J. Funct. Anal. 36 (1980), 205–254. Google Scholar
[3] [3] He, J., Continuous Multiscale Analysis on the Heisenberg Group. Bull. KoreanMath. Soc. 38 (2001), 517–526. Google Scholar
[4] [4] He, J. and Liu, H., Admissible Wavelets Associated with the Affine Automorphism Group of the Siegel Upper Half-Plane. J. Math. Anal. Appl. 208 (1997), 58–70. Google Scholar
[5] [5] Helgason, S., The Radon Transform. Second Edition, Birkhäuser, Boston Basel Berlin, 1999. Google Scholar
[6] [6] Holschneider, M., Inverse Radon Transforms Through InverseWavelet Transforms. Inverse Problems 7 (1991), 853–861. Google Scholar
[7] [7] Liu, H. and Peng, L., Admissible Wavelets Associated with the Heisenberg Group. Pacific Math. J. 180 (1997), 101–123. Google Scholar
[8] [8] Nessibi, M. M. and Trimèche, K., Inversion of the Radon Transform on the Laguerre Hypergroup by Using Generalized Wavelets. J. Math. Anal. Appl. 208 (1997), 337–363. Google Scholar
[9] [9] Rubin, B., The Calder´on Reproducing Formula,Windowed X-ray Transforms and Radon Transforms in Lp-spaces. J. Fourier Anal. Appl. 4 (1998), 175–197. Google Scholar
[10] [10] Rubin, B., Fractional Calculus and Wavelet Transforms in Integral Geometry. Fract. Calculus Appl. Anal. 1 (1998), 193–219. Google Scholar
[11] [11] Seaborn, J. B., Hypergeometric Functions and Their Applications. Springer-Verlag, New York, Berlin, Heidelberg, London, 1991. Google Scholar
[12] [12] Strichartz, R. S., Lp Harmonic Analysis and Radon Transforms on the Heisenberg Group. J. Funct. Anal. 96 (1991), 350–406. Google Scholar
[13] [13] Thangavelu, S., Harmonic Analysis on the Heisenberg Group. Birkhäuser, Boston, Basel, Berlin, 1998. Google Scholar
Cité par Sources :