Complex Potential TheoryPaul M. Gauthier Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993 |
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Amer analytic functions analytic multifunction assume Banach algebra Banach space boundary bounded analytic functions capacity Cauchy Chapter Chebyshev-type quadrature closed subset coefficients compact set compact subset condition constant continuous function converges convex Corollary countable defined definition denote dense disc domain entire function equation equivalent example exists extended Fatou components finite formula function ƒ harmonic functions Hence Hilbert space holomorphic functions holomorphic map hyperbolic implies inequality integral isometries Jordan-Banach algebra Lemma Let F Let ƒ linear operator m-linear functional manifold Math maximum principle measure metric neighborhood norm obtain open set open subset plurisubharmonic functions polynomials positive problem proved pseudoconvex radius result Riemann satisfies semigroup sequence solution spectral spectrum subharmonic functions subspace Suppose symmetric Tarkhanov topology uniform algebra uniformly unit ball vector weak-star continuous weakly continuous zero