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Volumn 125, Issue 1, 1999, Pages 67-81

The Funk transform as a Penrose transform†

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EID: 85007336324     PISSN: 03050041     EISSN: 14698064     Source Type: Journal    
DOI: 10.1017/S0305004198002527     Document Type: Article
Times cited : (15)

References (21)
  • 1
    • 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
  • 4
    • 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
  • 5
    • 0005754652 scopus 로고
    • Introduction to Penrose transform
    • (Mount Holyoke College, 27 June-3 July, Cont. Math. vol. 154 (Amer. Math. Soc., 1993), pp. 71-75
    • M. G. Eastwood. Introduction to Penrose transform. The Penrose transform and analytic cohomology in representation theory (Mount Holyoke College, 27 June-3 July, 1992), Cont. Math. vol. 154 (Amer. Math. Soc., 1993), pp. 71-75.
    • (1992) The Penrose transform and analytic cohomology in representation theory
    • Eastwood, M.G.1
  • 7
    • 0011275187 scopus 로고
    • U ber Flächen mit lauter geschlossenen geodätischen Linien
    • P. Funk. U ber Flächen mit lauter geschlossenen geodätischen Linien. Math. Ann. 74 (1913), 278–300.
    • (1913) Math. Ann. , vol.74 , pp. 278-300
    • Funk, P.1
  • 9
    • 0039020558 scopus 로고
    • J. Sov. Math. 18 (1980), 39–167).
    • (1980) J. Sov. Math. , vol.18 , pp. 39-167
  • 10
    • 0040917461 scopus 로고
    • Some notes on the Radon transform and integral geometry
    • S. G. Gindikin. Some notes on the Radon transform and integral geometry. Monat. Math. 113 (1992), 23–32.
    • (1992) Monat. Math. , vol.113 , pp. 23-32
    • Gindikin, S.G.1
  • 11
    • 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
  • 13
    • 85022700878 scopus 로고
    • Integrable systems, conformal geometry and gravitation (eds L. J. Mason, L. P. Hughston and P. Z. Kobak), Pitman research notes in Mathematics, Longman
    • L. J. Mason. Global solutions of the self-duality equations in split signature. §II·1· of Further advances in twistor theory, Volume 2: Integrable systems, conformal geometry and gravitation (eds L. J. Mason, L. P. Hughston and P. Z. Kobak), Pitman research notes in Mathematics, 2323 (Longman 1995).
    • (1995) Global solutions of the self-duality equations in split signature , vol.2 , pp. 2323
    • Mason, L.J.1
  • 15
    • 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
  • 16
    • 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
  • 17
    • 0004110209 scopus 로고
    • Ph.D. dissertation, University of California, Berkeley, Representation theory and harmonic analysis on semisimple Lie groups
    • 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,
    • (1967) Homogeneous complex manifolds and representations of semisimple Lie groups
    • Schmid, W.1
  • 18
    • 0000980929 scopus 로고
    • Amer. Math. Soc.
    • Math. Surveys and Monographs, vol. 31 (Amer. Math. Soc., 1989), pp. 223–286.
    • (1989) Math. Surveys and Monographs , vol.31 , pp. 223-286
  • 21
    • 0001073691 scopus 로고    scopus 로고
    • Contour integrals for the ultrahyperbolic wave equation
    • N. M. J. Woodhouse. Contour integrals for the ultrahyperbolic wave equation. Proc. R. Soc. London, A438, 197–206.
    • Proc. R. Soc. London , vol.A438 , pp. 197-206
    • Woodhouse, N.M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.