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Volumn 11, Issue 4, 1998, Pages 869-897

Radon transforms and finite type conditions

Author keywords

Averaging operators; Finite type conditions; Radon transforms

Indexed keywords


EID: 0032358944     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-98-00280-x     Document Type: Article
Times cited : (73)

References (23)
  • 1
    • 0001239868 scopus 로고
    • Hilbert transforms along curves, I. Nilpotent groups
    • MR 87f:42039a
    • M. Christ, Hilbert transforms along curves, I. Nilpotent groups, Ann. Math. 122 (1985), 575-596. MR 87f:42039a
    • (1985) Ann. Math. , vol.122 , pp. 575-596
    • Christ, M.1
  • 4
    • 0003262282 scopus 로고
    • Fourier integral operators with fold singularities
    • MR 95h:58130
    • A. Greenleaf and A. Seeger, Fourier integral operators with fold singularities, J. reine ang. Math. 455 (1994), 35-56. MR 95h:58130
    • (1994) J. Reine Ang. Math. , vol.455 , pp. 35-56
    • Greenleaf, A.1    Seeger, A.2
  • 5
    • 0347747701 scopus 로고    scopus 로고
    • Fourier integral operators with simple cusps
    • to appear
    • _, Fourier integral operators with simple cusps, Amer. J. Math. (to appear).
    • Amer. J. Math.
  • 6
    • 0000357776 scopus 로고
    • Composition of some singular Fourier integral operators and estimates for the X-ray transform, I
    • MR 91k:58126
    • A. Greenleaf and G. Uhlmann, Composition of some singular Fourier integral operators and estimates for the X-ray transform, I, Ann. Inst. Fourier (Grenoble) 40 (1990), 443-466. MR 91k:58126
    • (1990) Ann. Inst. Fourier (Grenoble) , vol.40 , pp. 443-466
    • Greenleaf, A.1    Uhlmann, G.2
  • 7
    • 0009311140 scopus 로고
    • Composition of some singular Fourier integral operators and estimates for the X-ray transform, II
    • MR 93b:58146
    • _, Composition of some singular Fourier integral operators and estimates for the X-ray transform, II, Duke Math. J. 64 (1991), 413-419. MR 93b:58146
    • (1991) Duke Math. J. , vol.64 , pp. 413-419
  • 8
    • 0040300954 scopus 로고
    • 2,1
    • Princeton Univ. Press, Princeton, MR 91k:58140
    • 2,1, Ann. of Math. Studies 121, Princeton Univ. Press, Princeton, 1989. MR 91k:58140
    • (1989) Ann. of Math. Studies , vol.121
    • Guillemin, V.1
  • 9
    • 15244346736 scopus 로고
    • Hypoelliptic second order differential equations
    • MR 36:5526
    • L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171. MR 36:5526
    • (1967) Acta Math. , vol.119 , pp. 147-171
    • Hörmander, L.1
  • 10
    • 0002820858 scopus 로고
    • Fourier integral operators I
    • MR 52:9299
    • _, Fourier integral operators I, Acta Math. 127 (1971), 79-183. MR 52:9299
    • (1971) Acta Math. , vol.127 , pp. 79-183
  • 11
    • 84972536343 scopus 로고
    • Boundary behavior of ∂̄ on weakly pseudo-convex manifolds of dimension two
    • MR 48:727
    • J. J. Kohn, Boundary behavior of ∂̄ on weakly pseudo-convex manifolds of dimension two, J. Diff. Geom. 6 (1972), 523-542. MR 48:727
    • (1972) J. Diff. Geom. , vol.6 , pp. 523-542
    • Kohn, J.J.1
  • 12
    • 0000498121 scopus 로고
    • Near peak scattering and the correct Kirchhoff approximation for a convex obstacle
    • MR 86m:35095
    • R. Melrose and M. Taylor, Near peak scattering and the correct Kirchhoff approximation for a convex obstacle, Adv. in Math. 55 (1985), 242-315. MR 86m:35095
    • (1985) Adv. in Math. , vol.55 , pp. 242-315
    • Melrose, R.1    Taylor, M.2
  • 13
    • 0009380733 scopus 로고
    • Singular integrals and Fourier integral operators
    • edited by C. Fefferman, R. Fefferman and S. Wainger, Princeton University Press, MR 95k:42026
    • D. H. Phong, Singular integrals and Fourier integral operators, Essays on Fourier analysis in honor of Elias M. Stein, edited by C. Fefferman, R. Fefferman and S. Wainger, Princeton University Press, 1995. MR 95k:42026
    • (1995) Essays on Fourier Analysis in Honor of Elias M. Stein
    • Phong, D.H.1
  • 14
    • 0002950716 scopus 로고
    • Hilbert integrals, singular integrals and Radon transforms I
    • MR 88i:42028a
    • D. H. Phong and E. M. Stein, Hilbert integrals, singular integrals and Radon transforms I, Acta Math. 157 (1986), 99-157. MR 88i:42028a
    • (1986) Acta Math. , vol.157 , pp. 99-157
    • Phong, D.H.1    Stein, E.M.2
  • 15
    • 84960579624 scopus 로고
    • Radon transforms and torsion
    • MR 93g:58144
    • _. Radon transforms and torsion, International Mathematics Research Notices (1991), 49-60. MR 93g:58144
    • (1991) International Mathematics Research Notices , pp. 49-60
  • 16
    • 0001725845 scopus 로고
    • Models of degenerate Fourier integral operators and Radon transforms
    • MR 96c:35206
    • _, Models of degenerate Fourier integral operators and Radon transforms, Ann. Math. 140 (1994), 703-722. MR 96c:35206
    • (1994) Ann. Math. , vol.140 , pp. 703-722
  • 17
    • 0010908695 scopus 로고    scopus 로고
    • The newton polyhedron and oscillatory integral operators
    • CMP 98:05
    • _, The Newton polyhedron and oscillatory integral operators, Acta Math 179 (1997), 146-177. CMP 98:05
    • (1997) Acta Math , vol.179 , pp. 146-177
  • 18
    • 34250382135 scopus 로고
    • Hypoelliptic operators and nilpotent groups
    • MR 55:9171
    • L. P. Rothschild and E. M. Stein, Hypoelliptic operators and nilpotent groups, Acta Math. 137 (1976), 247-320. MR 55:9171
    • (1976) Acta Math. , vol.137 , pp. 247-320
    • Rothschild, L.P.1    Stein, E.M.2
  • 19
    • 84974004029 scopus 로고
    • Degenerate Fourier integral operators in the plane
    • MR 94h:35292
    • A. Seeger, Degenerate Fourier integral operators in the plane, Duke Math. J. 71 (1993), 685-745. MR 94h:35292
    • (1993) Duke Math. J. , vol.71 , pp. 685-745
    • Seeger, A.1
  • 20
    • 84974004215 scopus 로고
    • p regularity for the wave equation with strictly convex obstacles
    • MR 95c:35048
    • p regularity for the wave equation with strictly convex obstacles, Duke Math. J. 73 (1994), 97-153. MR 95c:35048
    • (1994) Duke Math. J. , vol.73 , pp. 97-153
    • Smith, H.1    Sogge, C.D.2
  • 21
    • 51249173264 scopus 로고
    • Averages of functions over hypersurfaces: Smoothness of generalized Radon transforms
    • MR 91i:58145
    • C. D. Sogge and E. M. Stein, Averages of functions over hypersurfaces: smoothness of generalized Radon transforms, J. Analyse Math. 54 (1990), 165-188. MR 91i:58145
    • (1990) J. Analyse Math. , vol.54 , pp. 165-188
    • Sogge, C.D.1    Stein, E.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.