메뉴 건너뛰기




Volumn 40, Issue 4, 2003, Pages 577-593

Complex analysis and the Funk transform

Author keywords

Funk; Penrose; Radon; Zoll

Indexed keywords


EID: 18344387571     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2003.40.4.577     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 0002602288 scopus 로고
    • La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique
    • A. Andreotti and F. Norguet, La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique, Ann. Scuola Norm. Sup. Pisa 21 (1967), 31-82.
    • (1967) Ann. Scuola Norm. Sup. Pisa , vol.21 , pp. 31-82
    • Andreotti, A.1    Norguet, F.2
  • 2
    • 18344374835 scopus 로고
    • The solution of partial differential equations by means of definite integrals
    • H. Bateman, The solution of partial differential equations by means of definite integrals, Proc. Lond. Math. Soc. 1(2) (1904), 451-458.
    • (1904) Proc. Lond. Math. Soc. , vol.1 , Issue.2 , pp. 451-458
    • Bateman, H.1
  • 3
    • 0039542718 scopus 로고    scopus 로고
    • Zero-energy fields on real projective space
    • T. N. Bailey and M. G. Eastwood, Zero-energy fields on real projective space, Geom. Dedicata 67 (1997), 245-258.
    • (1997) Geom. Dedicata , vol.67 , pp. 245-258
    • Bailey, T.N.1    Eastwood, M.G.2
  • 7
    • 0030215730 scopus 로고    scopus 로고
    • Radon-Penrose transform for D-modules
    • A. D'Agnolo and P. Schapira, Radon-Penrose transform for D-modules, J. Funct. Anal. 139 (1996), 349-382.
    • (1996) J. Funct. Anal. , vol.139 , pp. 349-382
    • D'Agnolo, A.1    Schapira, P.2
  • 10
    • 0011275187 scopus 로고
    • Über Flächen mit lauter geschlossenen geodätischen Linien
    • P. Funk, Über Flächen mit lauter geschlossenen geodätischen Linien, Math. Ann. 74 (1913), 278-300.
    • (1913) Math. Ann. , vol.74 , pp. 278-300
    • Funk, P.1
  • 12
    • 0003077448 scopus 로고
    • Integral geometry in affine and projective spaces
    • translated into English
    • I. M. Gelfand, S. G. Gindikin, and M. I. Graev, Integral geometry in affine and projective spaces, translated into English in J. Sov. Math. 18 (1980), 39-167.
    • (1980) J. Sov. Math. , vol.18 , pp. 39-167
    • Gelfand, I.M.1    Gindikin, S.G.2    Graev, M.I.3
  • 13
    • 0040917461 scopus 로고
    • Some notes on the Radon transform and integral geometry
    • S. G. Gindikin, Some notes on the Radon transform and integral geometry, Monatsh. Math. 113 (1992), 23-32.
    • (1992) Monatsh. Math. , vol.113 , pp. 23-32
    • Gindikin, S.G.1
  • 14
    • 0037737476 scopus 로고
    • The Radon transform on Zoll surfaces
    • V. Guillemin, The Radon transform on Zoll surfaces, Adv. Math. 22 (1976), 85-119.
    • (1976) Adv. Math. , vol.22 , pp. 85-119
    • Guillemin, V.1
  • 15
    • 0009208896 scopus 로고
    • An ultrahyperbolic analogue of the Robinson-Kerr theorem
    • V. Guillemin and S. Sternberg, An ultrahyperbolic analogue of the Robinson-Kerr theorem, Lett. Math. Phys. 12 (1986), 1-6.
    • (1986) Lett. Math. Phys. , vol.12 , pp. 1-6
    • Guillemin, V.1    Sternberg, S.2
  • 16
    • 0013554550 scopus 로고
    • The theory of hyperfunctions on totally real subsets of a complex manifold with applications to extension problems
    • F. R. Harvey, The theory of hyperfunctions on totally real subsets of a complex manifold with applications to extension problems, Amer. J. Math. 91 (1969), 853-873.
    • (1969) Amer. J. Math. , vol.91 , pp. 853-873
    • Harvey, F.R.1
  • 17
    • 84968474535 scopus 로고
    • The ultrahyperbolic differential equation with four independent variables
    • F. John, The ultrahyperbolic differential equation with four independent variables, Duke Math. J. 4 (1938), 300-322.
    • (1938) Duke Math. J. , vol.4 , pp. 300-322
    • John, F.1
  • 18
    • 0003097109 scopus 로고
    • Solutions of the zero rest-mass equations
    • R. Penrose, Solutions of the zero rest-mass equations, J. Math. Phys. 10 (1969), 38-39.
    • (1969) J. Math. Phys. , vol.10 , pp. 38-39
    • Penrose, R.1
  • 20
    • 0001169360 scopus 로고
    • Über die bestimmung von funktionen durch ihre integralwerte längs gewisser mannigfaltigkeiten
    • J. Radon, Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten, Sächs. Akad. Wiss. Leipzig, Math.-Nat. Kl. 69 (1917), 262-277.
    • (1917) Sächs. Akad. Wiss. Leipzig, Math.-Nat. Kl. , vol.69 , pp. 262-277
    • Radon, J.1
  • 21
    • 0004110209 scopus 로고
    • Ph.D. dissertation, University of California, Berkeley 1967, Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Math. Surveys and Monographs, Amer. Math. Soc.
    • W. Schmid, Homogeneous complex manifolds and representations of semisimple Lie groups, Ph.D. dissertation, University of California, Berkeley 1967, Representation Theory and Harmonic Analysis on Semisimple Lie Groups, Math. Surveys and Monographs Vol. 31, Amer. Math. Soc. 1989, pp. 223-286.
    • (1989) Homogeneous Complex Manifolds and Representations of Semisimple Lie Groups , vol.31 , pp. 223-286
    • Schmid, W.1
  • 22
    • 3242857937 scopus 로고    scopus 로고
    • Inversion for the Radon line transform in higher dimensions
    • G. A. J. Sparling, Inversion for the Radon line transform in higher dimensions, Trans. Roy. Soc. Lond. A356 (1998), 3041-3086.
    • (1998) Trans. Roy. Soc. Lond. , vol.A356 , pp. 3041-3086
    • Sparling, G.A.J.1
  • 23
    • 0001073691 scopus 로고
    • Contour integrals for the ultrahyperbolic wave equation
    • N. M. J. Woodhouse, Contour integrals for the ultrahyperbolic wave equation, Proc. Roy. Soc. Lond. A438 (1992), 197-206.
    • (1992) Proc. Roy. Soc. Lond. , vol.A438 , pp. 197-206
    • Woodhouse, N.M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.