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Uniform Algebras and Jensen Measures (Paperback): T.W. Gamelin Uniform Algebras and Jensen Measures (Paperback)
T.W. Gamelin
R1,259 Discovery Miles 12 590 Ships in 12 - 17 working days

These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory. The unifying theme is the notion of subharmonicity with respect to a uniform algebra. The topics covered include the rudiments of Choquet theory, various classes of representing measures, the duality between abstract sub-harmonic functions and Jensen measures, applications to problems of approximation of plurisubharmonic functions of several complex variables, and Cole's theory of estimates for conjugate functions. Many of the results are published here for the first time in monograph form.

Introduction to Topology (Paperback, 2nd Revised edition): T.W. Gamelin, Robert E. Greene Introduction to Topology (Paperback, 2nd Revised edition)
T.W. Gamelin, Robert E. Greene
R437 R413 Discovery Miles 4 130 Save R24 (5%) Ships in 10 - 15 working days

A fresh approach to introductory topology, this volume explains nontrivial applications of metric space topology to analysis, clearly establishing their relationship. Also, topics from elementary algebraic topology focus on concrete results with minimal algebraic formalism. The first two chapters consider metric space and point-set topology; the second two, algebraic topological material. 1983 ed. Solutions to Selected Exercises. List of Notations. Index. 51 illus.

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