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Volumn 130, Issue 10, 2002, Pages 3017-3023

Helgason-Marchaud inversion formulas for Radon transforms

Author keywords

Geodesic Radon transforms; Marchaud's fractional derivatives

Indexed keywords


EID: 0036788778     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06554-1     Document Type: Conference Paper
Times cited : (15)

References (12)
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    • MR 93b:53056
    • C.A. Berenstein, E. Casadio Tarabusi, Inversion formulas for the k-dimensional Radon transform in real hyperbolic spaces, Duke Math. Journal 62 (1991), 613-631. MR 93b:53056
    • (1991) Duke Math. Journal , vol.62 , pp. 613-631
    • Berenstein, C.A.1    Casadio Tarabusi, E.2
  • 2
    • 0033445497 scopus 로고    scopus 로고
    • P-functions on the Lobachevsky space and hyperbolic wavelet transforms
    • MR 2000e:44001
    • P-functions on the Lobachevsky space and hyperbolic wavelet transforms, Forum Math. 11 (1999), 567-590. MR 2000e:44001
    • (1999) Forum Math. , vol.11 , pp. 567-590
    • Berenstein, C.A.1    Rubin, B.2
  • 4
    • 51249195806 scopus 로고
    • Differential operators on homogeneous spaces
    • MR 22:8457
    • S. Helgason, Differential operators on homogeneous spaces, Acta Math. 102 (1959), 239-299. MR 22:8457
    • (1959) Acta Math. , vol.102 , pp. 239-299
    • Helgason, S.1
  • 5
    • 0001163592 scopus 로고
    • The totally geodesic Radon transform on constant curvature spaces
    • MR 92j:53036
    • _, The totally geodesic Radon transform on constant curvature spaces, Contemp. Math 113 (1990), 141-149. MR 92j:53036
    • (1990) Contemp. Math , vol.113 , pp. 141-149
  • 7
    • 0001020064 scopus 로고
    • Mapping properties of the Radon transform
    • MR 84a:44002
    • D. M. Oberlin, E. M. Stein, Mapping properties of the Radon transform, Indiana Univ. Math. J. 31 (1982), 641-650. MR 84a:44002
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 641-650
    • Oberlin, D.M.1    Stein, E.M.2
  • 9
    • 0010531252 scopus 로고    scopus 로고
    • Inversion formulas for the spherical Radon transform and the generalized cosine transform
    • to appear
    • _, Inversion formulas for the spherical Radon transform and the generalized cosine transform, Advances in Appl. Math. (to appear).
    • Advances in Appl. Math.
  • 10
    • 0010530967 scopus 로고    scopus 로고
    • Radon, cosine, and sine transforms on real hyperbolic space
    • to appear
    • _, Radon, cosine, and sine transforms on real hyperbolic space, Advances in Math. (to appear).
    • Advances in Math.
  • 11
    • 0000612431 scopus 로고    scopus 로고
    • Spherical Radon transforms and related wavelet transforms
    • MR 99c:44003
    • _, Spherical Radon transforms and related wavelet transforms, Applied and Computational Harm. Anal. 5 (1998), 202-215. MR 99c:44003
    • (1998) Applied and Computational Harm. Anal. , vol.5 , pp. 202-215
  • 12
    • 0001216829 scopus 로고
    • P-estimates for Radon transforms in Euclidean and non-euclidean spaces
    • MR 86k:43008
    • P-estimates for Radon transforms in Euclidean and non-euclidean spaces, Duke Math. J. 48 (1981), 699-727. MR 86k:43008
    • (1981) Duke Math. J. , vol.48 , pp. 699-727
    • Strichartz, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.