Localization theorem for holomorphic approximation on open Riemann surfaces

Akira SAKAI

doi:10.2969/jmsj/02420189

Akira SAKAI

著者情報

ジャーナルフリー

1972 年 24 巻 2 号 p. 189-197

DOI https://doi.org/10.2969/jmsj/02420189

詳細

Published: 1972 Received: 1971/04/26 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) H. Behnke and K. Stein, Entwicklungen analytischer Funktionen auf Riemannschen Flächen, Math. Ann., 120 (1948), 430-461.
2) E. Bishop, Subalgebras of functions on Riemann surface, Pacific J. Math., 8 (1958), 29-50.
3) J. Garnett, On a theorem of Mergelyan, Pacific J. Math., 26 (1968), 461-467.
4) G. M. Henkin, Integral representation of functions in strictly pseudoconvex domain and application to ∂-problem, Mat. Sb., 82 (124): 2 (6) (1970), 300-308 (Russian).
5) L. Kodama, Boundary measures of analytic differentials and uniform approximation on a Riemann surface, Pacific J. Math., 15 (1965), 1261-1267.
6) S. N. Mergelyan, Uniform approximation to function of a complex variable, Amer. Math. Soc. Transl. No. 101.
7) R. Nirenberg and R. O. Wells, Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc., 142 (1969), 15-35.

Right : [1] H. Behnke and K. Stein, Entwicklungen analytischer Funktionen auf Riemannschen Flächen, Math. Ann., 120 (1948), 430-461.
[2] E. Bishop, Subalgebras of functions on Riemann surface, Pacific J. Math., 8 (1958), 29-50.
[3] J. Garnett, On a theorem of Mergelyan, Pacific J. Math., 26 (1968), 461-467.
[4] G. M. Henkin, Integral representation of functions in strictly pseudoconvex domain and application to ∂-problem, Mat. Sb., 82 (124): 2 (6) (1970), 300-308 (Russian).
[5] L. Kodama, Boundary measures of analytic differentials and uniform approximation on a Riemann surface, Pacific J. Math., 15 (1965), 1261-1267.
[6] S. N. Mergelyan, Uniform approximation to function of a complex variable, Amer. Math. Soc. Transl. No. 101.
[7] R. Nirenberg and R. O. Wells, Approximation theorems on differentiable submanifolds of a complex manifold, Trans. Amer. Math. Soc., 142 (1969), 15-35.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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