New PDF release: Banach Spaces of Analytic Functions (Dover Books on

By Kenneth Hoffman

A vintage of natural arithmetic, this complicated graduate-level textual content explores the intersection of useful research and analytic functionality thought. shut in spirit to summary harmonic research, it really is limited 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 indispensable representations of analytic capabilities within the unit disc, together with generalizations to Dirichlet algebras. The 5th bankruptcy includes the factorization conception 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 publication addresses the constitution of varied Banach areas and Banach algebras of analytic features within the unit disc.
Enhanced with a hundred difficult routines, a bibliography, and an index, this article belongs within the libraries of scholars, expert mathematicians, in addition to somebody drawn to a rigorous, high-level remedy of this topic.

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

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