Big-Planes, Boundaries and Function Algebras

Toma V. Tonev (Eds.)9780444892379, 0444892370, 9780080872834

Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n -tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n -tuple polynomial and rational hulls. Applications to the problem of existence of n -dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.

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Table of contents :
Content:
Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vii
Toma V. Tonev

Introduction
Pages xi-xviii

Chapter I Uniform Algebras
Pages 1-57

Chapter II Γ-Analytic Functions in the Big-Plane
Pages 58-148

Chapter III n-Tuple Shilov Boundaries
Pages 149-230

Chapter IV Analytic Structures in Uniform Algebra Spectra
Pages 231-279

References
Pages 280-286

Index
Pages 287-294