Functional Analysis

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 useful research and analytic functionality conception. shut in spirit to summary harmonic research, it's restrained to Banach areas of analytic services within the unit disc.
The writer devotes the 1st 4 chapters to proofs of classical theorems on boundary values and boundary critical representations of analytic services within the unit disc, together with generalizations to Dirichlet algebras. The 5th bankruptcy comprises the factorization thought of Hp capabilities, a dialogue of a few partial extensions of the factorization, and a short 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 services within the unit disc.
Enhanced with a hundred difficult workouts, a bibliography, and an index, this article belongs within the libraries of scholars, specialist mathematicians, in addition to somebody attracted to a rigorous, high-level remedy of this topic.

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