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Volumn 17, Issue 1, 2007, Pages 116-155

On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator

Author keywords

Complex Plateau problem; Inverse Dirichlet to Neumann problem; Riemann surface

Indexed keywords


EID: 34247561831     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-006-0590-7     Document Type: Article
Times cited : (34)

References (29)
  • 1
    • 0007207730 scopus 로고
    • Riemann Surfaces
    • Princeton University Press, Princeton, NJ
    • L.V. AIILFORS, L. SARIO, Riemann Surfaces, Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, NJ, 1960.
    • (1960) Princeton Mathematical Series , vol.26
    • AIILFORS, L.V.1    SARIO, L.2
  • 2
    • 0034344805 scopus 로고    scopus 로고
    • Linking numbers and boundaries of varieties
    • H. ALEXANDER, J. WERMER, Linking numbers and boundaries of varieties, Ann. of Math. 151 (2000), 125-150
    • (2000) Ann. of Math , vol.151 , pp. 125-150
    • ALEXANDER, H.1    WERMER, J.2
  • 3
    • 0001779111 scopus 로고    scopus 로고
    • Boundary control in reconstruction of manifolds and metrics (the BC method)
    • M.T. BKLISHKV, Boundary control in reconstruction of manifolds and metrics (the BC method), Inverse Probl. 13, (1997) R1-R45.
    • (1997) Inverse Probl , vol.13
    • BKLISHKV, M.T.1
  • 4
    • 1342288068 scopus 로고    scopus 로고
    • The Caldoron problem for two dimensional manifolds by the BC-method
    • M.T. BBLISHKV, The Caldoron problem for two dimensional manifolds by the BC-method, SIAM J. Math. Anal. 35:1 (2003), 172-182.
    • (2003) SIAM J. Math. Anal , vol.35 , Issue.1 , pp. 172-182
    • BBLISHKV, M.T.1
  • 5
    • 84947680266 scopus 로고
    • To the reconstruction of a Riemaniann manifold via its spectral data (BC-method)
    • M.I. BKLISHEV, Y.V. KURYLKV, To the reconstruction of a Riemaniann manifold via its spectral data (BC-method), Comm. Partial Differential Equations 17:5-6 (1992), 767-804.
    • (1992) Comm. Partial Differential Equations , vol.17 , Issue.5-6 , pp. 767-804
    • BKLISHEV, M.I.1    KURYLKV, Y.V.2
  • 6
    • 0000348933 scopus 로고
    • Holomorphic completions, analytic continuation, and the interpolation of semi-norms
    • E. BISHOP, Holomorphic completions, analytic continuation, and the interpolation of semi-norms, Ann. of Math. (2) 78 (1963), 468-500.
    • (1963) Ann. of Math. (2) , vol.78 , pp. 468-500
    • BISHOP, E.1
  • 7
    • 0035787875 scopus 로고    scopus 로고
    • On the notion of anisotropy of constitutive laws: Some implications of the "Hodge implies metric" result
    • A. BOSSAVIT, On the notion of anisotropy of constitutive laws: Some implications of the "Hodge implies metric" result, COMPEL 20:1 (2001), 233-239.
    • (2001) COMPEL , vol.20 , Issue.1 , pp. 233-239
    • BOSSAVIT, A.1
  • 8
    • 0001659228 scopus 로고    scopus 로고
    • Uniqueness in the inverse conductivity problem for non-smooth conductivities in two dimensions
    • R. BROWN, G. UHLMANN, Uniqueness in the inverse conductivity problem for non-smooth conductivities in two dimensions, Comm. Part. Diff. Equations 22 (1997), 1009-1027.
    • (1997) Comm. Part. Diff. Equations , vol.22 , pp. 1009-1027
    • BROWN, R.1    UHLMANN, G.2
  • 10
    • 34247643147 scopus 로고    scopus 로고
    • E.M. CHIRKA, Regularity of the boundaries of analytic sets (in Russian), Mat. Sb. (N.S.) 117:3 (159) (1982), 291-336, 431.
    • E.M. CHIRKA, Regularity of the boundaries of analytic sets (in Russian), Mat. Sb. (N.S.) 117:3 (159) (1982), 291-336, 431.
  • 11
    • 0009374020 scopus 로고    scopus 로고
    • Orthogonal measures on the boundary of a Riemaim surface and polynomial hull of compacts of finite length
    • T.-C. DINH, Orthogonal measures on the boundary of a Riemaim surface and polynomial hull of compacts of finite length, J. Funct. Anal. 157 (1998), 624-649.
    • (1998) J. Funct. Anal , vol.157 , pp. 624-649
    • DINH, T.-C.1
  • 15
    • 0001832115 scopus 로고
    • Variations on a theorem of Abel
    • P. GRIFFITHS, Variations on a theorem of Abel, Invent. Math. 35 (1976), 321-390.
    • (1976) Invent. Math , vol.35 , pp. 321-390
    • GRIFFITHS, P.1
  • 17
    • 0001259129 scopus 로고
    • Holomorphic chains and their boundaries
    • R. HARVKY, Holomorphic chains and their boundaries, Proc. Symp. Pure Math. 30 (1977), 309-382.
    • (1977) Proc. Symp. Pure Math , vol.30 , pp. 309-382
    • HARVKY, R.1
  • 18
    • 0001599198 scopus 로고
    • Boundaries of complex analytic varieties
    • F.R. HAHVKY, H.B. LAWSON, Boundaries of complex analytic varieties, Ann. of Math. 102 (1975), 233-290.
    • (1975) Ann. of Math , vol.102 , pp. 233-290
    • HAHVKY, F.R.1    LAWSON, H.B.2
  • 19
    • 84867930642 scopus 로고    scopus 로고
    • Boundaries of varieties in projective manifolds
    • F.R. HARVEY, H.B. LAWSON, Boundaries of varieties in projective manifolds, J. Geom. Anal. 14:4 (2004), 673-695.
    • (2004) J. Geom. Anal , vol.14 , Issue.4 , pp. 673-695
    • HARVEY, F.R.1    LAWSON, H.B.2
  • 20
    • 0001139977 scopus 로고    scopus 로고
    • The Abel-Radon transform and several complex variables, Ann. of Math. Stud
    • Princeton Univ. Press, Princeton, NJ 1995
    • G. HENKIN, The Abel-Radon transform and several complex variables, Ann. of Math. Stud., Princeton Univ. Press, Princeton, NJ (1995), 223-275.
    • HENKIN, G.1
  • 21
    • 0038247455 scopus 로고    scopus 로고
    • On determining a Riemannian manifold from the Dirichlet-to-Neumann map
    • M. LASSAS, G. UHLMANN, On determining a Riemannian manifold from the Dirichlet-to-Neumann map, Ann. Sci. Ecole Norm. Sup. 34 (2001), 771-787.
    • (2001) Ann. Sci. Ecole Norm. Sup , vol.34 , pp. 771-787
    • LASSAS, M.1    UHLMANN, G.2
  • 22
    • 0035473445 scopus 로고    scopus 로고
    • Exponential instability in an inverse problem for the Schrödiriger equation
    • N. MANDACHK, Exponential instability in an inverse problem for the Schrödiriger equation, Inverse Problems 17 (2001), 1435 1444.
    • (2001) Inverse Problems , vol.17 , pp. 1435-1444
    • MANDACHK, N.1
  • 23
    • 84923279813 scopus 로고
    • Extension of range of functions
    • E.J. MCSHANE, Extension of range of functions, Bull. Am. Math. Soc. 40 (1934), 837-842.
    • (1934) Bull. Am. Math. Soc , vol.40 , pp. 837-842
    • MCSHANE, E.J.1
  • 24
    • 34249973239 scopus 로고
    • Multidimensional inverse spectral problem for the equation -Δψ + (v - Eu)ψ = 0
    • R. NOVIKOV, Multidimensional inverse spectral problem for the equation -Δψ + (v - Eu)ψ = 0, Funct. Anal. and Appl. 22 (1988), 263-272.
    • (1988) Funct. Anal. and Appl , vol.22 , pp. 263-272
    • NOVIKOV, R.1
  • 25
    • 0001301305 scopus 로고
    • Generalized Jacobian varieties
    • M. ROSENLICHT, Generalized Jacobian varieties, Ann. of Math. (2) 59 (1954), 505-530.
    • (1954) Ann. of Math. (2) , vol.59 , pp. 505-530
    • ROSENLICHT, M.1
  • 27
    • 84990586454 scopus 로고
    • An anisotropic inverse boundary value problem
    • J. SYLVKSTKR, An anisotropic inverse boundary value problem, Comm. Pure Appl. Math. 43 (1990), 201-232.
    • (1990) Comm. Pure Appl. Math , vol.43 , pp. 201-232
    • SYLVKSTKR, J.1
  • 29


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.