A classic of pure mathematics, this advanced graduate-level text explores the intersection of
functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis …

This self-contained work is an introductory presentation of basic ideas, structures, and
results of differential and integral calculus for functions of several variables. The wide range …

This research monograph concerns the Nevanlinna factorization of analytic functions
smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are …

The first part of this paper presents a generalization of a portion of the theory of analytic
functions in the unit disc. The theory to be extended consists of some basic theorems related …

The basic property of Hardy spaces HP of analytic functions in a disk is the fact that HP may
be canonically identified with some subspace of LP on a circle, namely the set of boundary …

This classic monograph is the work of a prominent contributor to the field of harmonic
analysis. Geared toward advanced undergraduates and graduate students, it focuses on …

Space;(2) obtain a precise description, say, of the kernel of T.(3) study T (a) as an operator-
valued nonlinear function of a, and, in particular, show that T (a) is a real or complex analytic …

This book is designed as a text for a first course on functional analysis for ad vanced
undergraduates or for beginning graduate students. It can be used in the undergraduate …

This work has arisen from lecture courses given by the authors on important topics within
functional analysis. The authors, who are all leading researchers, give introductions to their …

Recall that a real valued function u defined on an open set in the complex plane is called
harmonic if the partial second derivatives of u exist and are continuous and u'-'+ u_.. _.. is …