Contributions to the Theory of Riemann Surfaces

Häftad, Engelska, 1953

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The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), will be forthcoming.

*Frontmatter, pg. i*FOREWORD, pg. v*CONTENTS, pg. vii*DEVELOPMENT OP THE THEORY OF CONFORMAL MAPPING AND RIEMANN SURFACES THROUGH A CENTURY, pg. 1*VARIATIONAL METHODS IN THE THEORY OF RIEMANN SURFACES, pg. 15*SEMIGROUPS OP TRANSFORMATIONS OP A RIEMANN SURFACE INTO ITSELF, pg. 31*AN EXTREMAL BOUNDARY VALUE PROBLEM, pg. 41*ON DIRICHLET'S PRINCIPLE, pg. 49*PROBLEM CONCERNING THE CONTINUATION OP RIEMANN SURFACES, pg. 55*CONSTRUCTION OF FUNCTIONS WITH PRESCRIBED PROPERTIES ON RIEMANN SURFACES, pg. 63*METRIC RIEMANN SURFACES, pg. 77*SOME RESULTS RELATED TO EXTREMAL LENGTH, pg. 87*RANDOM WALK AND THE TYPE PROBLEM OP RIEMANN SURFACES, pg. 95*CONSTRUCTION OF PARABOLIC RIEMANN SURFACES BY THE GENERAL REFLECTION PRINCIPLE, pg. 103*THE IDEAL BOUNDARY OF A RIEMANN SURFACE, pg. 107*TOPOLOGICAL METHODS ON RIEMANN SURFACES PSEUDOHARMONIC FUNCTIONS, pg. 111*COVERINGS OP RIEMANN SURFACES, pg. 141*PARTIAL DIFFERENTIAL EQUATIONS AND PSEUDO-ANALYTIC . FUNCTIONS ON RIEMANN SURFACES, pg. 157*DIRICHLET'S PRINCIPLE AND SOME INEQUALITIES IN THE THEORY OF CONFORMAL MAPPING, pg. 167*ON THE EFFECTIVE DETERMINATION OF CONFORMAL MAPS, pg. 177*STRUCTURE OF COMPLEX SPACES, pg. 189*REAL AND COMPLEX OPERATORS ON MANIFOLDS, pg. 203*MULTIVALUED SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS, pg. 229*THE THEOREM OF RIEMANN-ROCH FOR ADJOINT SYSTEMS ON KAHLERIAN VARIETIES, pg. 247