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

By Kenneth Hoffman

A vintage of natural arithmetic, this complicated graduate-level textual content explores the intersection of sensible research and analytic functionality idea. shut in spirit to summary harmonic research, it truly is constrained 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 vital representations of analytic capabilities within the unit disc, together with generalizations to Dirichlet algebras. The 5th bankruptcy includes the factorization thought of Hp services, 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 e-book addresses the constitution of assorted Banach areas and Banach algebras of analytic capabilities within the unit disc.
Enhanced with a hundred demanding routines, a bibliography, and an index, this article belongs within the libraries of scholars, expert mathematicians, in addition to someone drawn to a rigorous, high-level therapy of this topic.

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