Displaying similar documents to “On a problem of Seiberg and Witten”

The Lindelöf principle in ℂn

Peter Dovbush (2013)

Open Mathematics

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Let D be a bounded domain in ℂn. A holomorphic function f: D → ℂ is called normal function if f satisfies a Lipschitz condition with respect to the Kobayashi metric on D and the spherical metric on the Riemann sphere ̅ℂ. We formulate and prove a few Lindelöf principles in the function theory of several complex variables.

Analytic functions

Stanisław Saks, Antoni Zygmund

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CONTENTS PREFACE................................... III PREFACE TO THE ENGLISH EDITION................................... VII INTRODUCTION. THEORY OF SETS § 1. Fundamental definitions................................... 1 § 2. Denumerable sets................................... 3 § 3. Abstract topological space................................... 4 § 4. Closed and open sets................................... 6 § 5. Connected sets................................... 11 § 6. Compact sets......................................

Cluster sets of analytic multivalued functions

S. Harbottle (1992)

Studia Mathematica

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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.