참고문헌
- S. Bell, The Bergman kernel function and proper holomorphic mappings, Trans. Amer. Math. Soc. 270 (1982), 685–691. https://doi.org/10.1090/S0002-9947-1982-0645338-1
- S. Bell, The Cauchy Transform, Potential Theory, and Conformal Mapping, CRC Press, Boca Raton, 1992.
- S. Bell, Complexity of the classical kernel functions of potential theory, Indiana Univ. Math. J. 44 (1995), 1337–1369. https://doi.org/10.1512/iumj.1995.44.2030
- S. Bell, Finitely generated function fields and complexity in potential theory in the plane, Duke Math. J. 98 (1999), 187-207. https://doi.org/10.1215/S0012-7094-99-09805-8
- S. Bell, A Riemann surface attached to domains in the plane and complexity in potential theory, Houston J. Math. 26 (2000), 277-297.
- S. Bergman, The kernel function and conformal mapping, Math Surveys 5, Amer. Math. Soc., Providence, 1950.
- S. Bochner and W. Martin, Several Complex Variables, Princeton Math. Ser. 10, Princeton Univ. Press, Princeton, 1948.
- H. M. Farkas and I. Kra, Riemann Surfaces, Grad. Texts in Math. 71, Springer-Verlag, 1980
- Y. Imayoshi and M. Taniguchi, An Introduction to Teichmüller Spaces, Springer-Verlag, Tokyo, 1992.
- M. Jeong, The Szegő kernel and rational proper mappings between planar domains, Complex Variables Theory Appl. 23 (1993), 157–162.
- M. Jeong and M. Taniguchi, Bell representation of finitely connected planar domains, Proc. Amer. Math. Soc., To appear.
- N. Kerzman and E. M. Stein, The Cauchy kernel, the Szegő kernel, and the Riemann mapping function, Math. Ann. 236 (1978), 85–93. https://doi.org/10.1007/BF01420257
- N. Kerzman and M. Trummer, Numerical conformal mapping via the Szegő ker-nel, Special issue on numerical conformal mapping, J. Comput. Appl. Math. 14 (1986), 111–123. https://doi.org/10.1016/0377-0427(86)90133-0
- O. Lehto, Univalent Functions and Teichmuller Spaces, Grad. Texts in Math. 109, Springer-Verlag, New York, 1987.
- S. M. Natanzon, Hurwitz spaces, Topics on Riemann surfaces and Fuchsian Groups, London Math. Soc. Lecture Note Ser. 287 (2001), 165-177.
- M. Trummer, An efficient implementation of a conformal mapping method based on the Szegő kernel, SIAM J. Numer. Anal. 23 (1986), 853–872. https://doi.org/10.1137/0723055
피인용 문헌
- Equivalence problem for annuli and Bell representations in the plane vol.325, pp.2, 2007, https://doi.org/10.1016/j.jmaa.2006.02.001
- The coefficient body of Bell representations of finitely connected planar domains vol.295, pp.2, 2004, https://doi.org/10.1016/j.jmaa.2004.03.043