Complex analysis : proceedings of the special year held at the University of Maryland, College Park, 1985-86

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書誌事項

Complex analysis : proceedings of the special year held at the University of Maryland, College Park, 1985-86

Carlos A. Berenstein (ed.)

（Lecture notes in mathematics, 1275-1277 . Department of Mathematics, University of Maryland）

Springer-Verlag, c1987

  • v. 1 : gw
  • v. 1 : us
  • v. 2 : gw
  • v. 2 : us
  • v. 3 : gw
  • v. 3 : us

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注記

Sixteenth Special Year to the subject of Complex Analysis held from July 1985 to December 1986

Includes bibliographies

内容説明・目次

巻冊次

v. 3 : gw ISBN 9783540183556

目次

Some recent successes in value-distribution theory.- Bergman - Szegoe type theory for CR structures.- Regular complex geodesics for the domain Dn=((z1, ..., zn) ? ?n : |z1| + ... + |zn| < 1).- Subelliptic, second order differential operators.- Recent results on homogeneous complex manifolds.- Kahler-Einstein metrics for the case of positive first chern class.- Algebroid reduction of Nevanlinna theory.- An infinite-dimensional generalization of the Shilov boundary and infinite dimensional analytic structures in the spectrum of a uniform algebra.- New relations between Sibony-Basener boundaries.- Picard-fuchs differential equations for the quadratic periods of Abelian integrals of the first kind.- Holomorphic families of holomorphic isometries.- Complex Monge-Ampere equation and related problems.- Liouville theorems.- A final word.
巻冊次

v. 1 : gw ISBN 9783540183563

内容説明

The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampere equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations.

目次

Bazilevi? theorem and the growth of univalent functions.- Moebius invariant spaces of analytic functions.- Dubinin's symmetrization theorem.- Functions with rapidly decreasing negative fourier coefficients.- On the theory and applications of Qm-normal families of meromorphic functions.- Cauchy Transforms of measures and univalent functions.- Harmonic majorization, harmonic measure and minimal thinness.- Unramified coverings of hyperelliptic Riemann surfaces.- Arcs on which a univalent function has small magnitude.- Uniform and better-than-uniform elliptic approximations on unbounded sets.- Discrete convergence groups.- Representation and duality in weighted frechet spaces of entire functions.- Real zeros of derivatives of meromorphic functions and solutions of differential equations - A survey with problems and conjectures.- Some estimates for harmonic measures.- Hausdorff measures and removable sets.- Approximations of sobolev functions and related topics.- Inequalities for the hyperbolic metric and applications to geometric function theory.- Subharmonic functions with unilateral growth conditions.- Kirwan's conjecture.- On potential approximation of vector fields.- On tangential harmonic approximation and some related problems.- Unbounded quadrature domains.
巻冊次

v. 2 : gw ISBN 9783540183570

目次

Polynomial Hulls and linear measure.- Estimations, Par Noyaux, Des Solutions De L'Equation u=f.- The heat equation and geometry for the -Neumann problem.- Extendibility of the Bergman kernel function.- ?b and Carleson type inequalities.- Boundary absolute continuity of functions in the ball algebra.- Subharmonic functions and minimal surfaces.- Proprietes de Recouvrement des Sous-Ensembles de la Frontiere d'un Domaine Strictement Pseudo-Convexe.- Some properties of the canonical mapping of a complex space into its spectrum.- Scalar boundary invariants and the Bergman kernel.- Biholomorphic self-maps of domains.- Some ?N capacities and applications.- Splitting of slowly decreasing ideals in weighted algebras of entire functions.- Convolutors in spaces of holomorphic functions.- A remark on "convolutors in spaces of holomorphic functions".- Integral representations in the theory of the -Neumann problem.- Tents and interpolating sequences in the unit ball.- Balayage and polynomial hulls.- Convergence of formal power series and analytic extension.

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