Banach Spaces of Analytic Functions (Dover Books on by Kenneth Hoffman PDF

By Kenneth Hoffman

ISBN-10: 0130554006

ISBN-13: 9780130554000

ISBN-10: 0486458741

ISBN-13: 9780486458748

A vintage of natural arithmetic, this complex graduate-level textual content explores the intersection of sensible research and analytic functionality idea. shut in spirit to summary harmonic research, it really is restricted to Banach areas of analytic capabilities within the unit disc.
The writer devotes the 1st 4 chapters to proofs of classical theorems on boundary values and boundary crucial representations of analytic capabilities within the unit disc, together with generalizations to Dirichlet algebras. The 5th bankruptcy includes the factorization thought of Hp capabilities, a dialogue of a few partial extensions of the factorization, and a quick description of the classical method of the theorems of the 1st 5 chapters. the rest of the publication addresses the constitution of varied Banach areas and Banach algebras of analytic features within the unit disc.
Enhanced with a hundred tough routines, a bibliography, and an index, this article belongs within the libraries of scholars, specialist mathematicians, in addition to a person attracted to a rigorous, high-level remedy of this topic.

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