"Direct outcome of the society's thirteenth Summer Research Institute."

"Sponsored by the National Science Foundation under grant GP-5069."

Includes bibliographies.

The invariant subspaces of $H^1$ and an extension of Schwarz's lemma / Edwin J. Akutowicz -- The valuation theory of meromorphic function fields / Norman L. Alling -- Further results on factorization of entire functions / I. N. Baker and F. Gross -- An introduction to the theory of meromorphic minimal surfaces / E. F. Beckenbach -- Entire functions related to the Dirichlet divisor problem / N. A. Bowen and A. J. Macintyre -- The expansion theorem for Hilbert spaces of entire functions / Louis de Branges -- A Lindel�of theorem and analytic continuation for functions of several variables, with an application to the Feynman integral / R. H. Cameron and D. A. Storvick -- On holomorphic mappings of hermitian manifolds of the same dimension. / Shiing-shen Chern -- On the coefficients of a class of univalent functions / J. Clunie -- Properties of exceptional values of meromorphic functions / E. F. Collingwood -- An introduction to complex Fourier analysis and Lacunary series / Leon Ehrenpreis -- Asymptotic properties of entire functions of order less than one / Matts Ess�en and Tord Ganelius -- The behavior of an entire function as determined by its maximum term. / Alfred Gray and S. M. Shah -- Note on Hadamard's convexity theorem / W. K. Hayman -- Bounds for the deficiencies of meromorphic functions of finite order. / Simon Hellerstein and Daniel F. Shea -- The counting function for points of maximum modulus / F. Herzog and G. Piranian -- Quasi-analytic functions / Jerry Kazdan -- Volume elements, holomorphic mappings and Schwarz's lemma / Shoshichi Kobayashi -- Limits of polynomials whose zeros lie in a given set / Jacob Korevaar -- Discrete sets of uniqueness for bounded holomorphic functions $f(z,\,w)$ / Jacob Korevaar and Simon Hellerstein -- Noncontinuous indicators for entire functions of $n \gg 2$ variables and of finite order / P. Lelong -- Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index / Benjamin Lepson -- Equilibrium distributions of charge on curves and locally convergent sequences of polynomials / T. L. McCoy -- A parabolic Riemannian ball / Mitsuru Nakai and Leo Sario -- Principal fields, semifields and forms on Riemannian spaces / Mitsuru Nakai and Leo Sario -- Fischer spaces of entire functions / D. J. Newman and H. S. Shapiro -- Extremal length and geometric inequalities / Burton Rodin -- On the growth of entire functions along half rays / W. J. Schneider -- Trigonometric series with nonnegative partial sums / S. M. Shah -- About entire and meromorphic functions of exponential type / Wilhelm Stoll -- Some locally convex spaces of entire functions / B. A. Taylor -- The fields of quotients of some rings of entire functions / B. A. Taylor -- On the distribution of asymptotically neutral families / Maynard Thompson -- Mappings of Riemann surfaces (Nevanlinna theory) / H. Wu -- Problems and solutions / Leon Ehrenpreis --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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