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

By Kenneth Hoffman

A vintage of natural arithmetic, this complex graduate-level textual content explores the intersection of sensible research and analytic functionality conception. shut in spirit to summary harmonic research, it truly is limited 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 imperative representations of analytic capabilities within the unit disc, together with generalizations to Dirichlet algebras. The 5th bankruptcy comprises the factorization idea of Hp features, 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 booklet addresses the constitution of assorted Banach areas and Banach algebras of analytic features within the unit disc.
Enhanced with a hundred hard routines, a bibliography, and an index, this article belongs within the libraries of scholars, expert mathematicians, in addition to an individual drawn to a rigorous, high-level remedy of this topic.

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