TY  - BOOK
AU  - Arsove,Maynard G.
AU  - Johnson,Guy
TI  - A conformal mapping technique for infinitely connected regions
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470400415 (online)
AV  - QA3 .A57 no. 91
PY  - 1970///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Conformal mapping
N1  - Includes bibliographical references; 1. Introduction; 2. Preliminaries; I. The Green's mapping; 3. Green's arcs; 4. The reduced region and Green's mapping; 5. Green's lines; 6. Integrals and arc length in terms of Green's coordinates; 7. Regular Green's lines; 8. Green's measure and harmonic measure; 9. Boundary properties of harmonic and analytic functions; II. A generalized Poisson kernel and Poisson integral formula; 10. A generalization of the Poisson kernel; 11. Properties of the generalized Poisson kernel; 12. The generalized Poisson integral; III. An invariant ideal boundary structure; 13. Construction of the boundary and its topology; 14. Further properties of the boundary; 15. Conformal invariance of the ideal boundary structure; 16. Metrizability, separability, and compactness of $\mathcal {E}$; 17. Termination of Green's lines in ideal boundary points; 18. The Dirichlet problem in $\mathcal {E}$; 19. The shaded Dirichlet problem; 20. Introduction of the hypothesis $m_z(\mathcal {S}) = 0$; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0091
UR  - http://dx.doi.org/10.1090/memo/0091
ER  -