Bounded Analytic Functions
Title | Bounded Analytic Functions PDF eBook |
Author | John Garnett |
Publisher | Springer Science & Business Media |
Total Pages | 471 |
Release | 2007-04-05 |
Genre | Mathematics |
ISBN | 0387497633 |
This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available.
Bounded Analytic Functions
Title | Bounded Analytic Functions PDF eBook |
Author | John B. Garnett |
Publisher | |
Total Pages | 502 |
Release | 1981 |
Genre | Analytic functions |
ISBN |
Bounded Analytic Functions
Title | Bounded Analytic Functions PDF eBook |
Author | |
Publisher | Academic Press |
Total Pages | 466 |
Release | 1981-10-12 |
Genre | Mathematics |
ISBN | 9780080874128 |
Bounded Analytic Functions
On Approximation by Bounded Analytic Functions
Title | On Approximation by Bounded Analytic Functions PDF eBook |
Author | Joseph Leonard Walsh |
Publisher | |
Total Pages | 64 |
Release | 1956 |
Genre | Analytic functions |
ISBN |
Blaschke Products
Title | Blaschke Products PDF eBook |
Author | Peter Colwell |
Publisher | |
Total Pages | 160 |
Release | 1985 |
Genre | Mathematics |
ISBN |
Gathers the principal research on this class of functions in analytic function theory
Bounded Analytic Functions
Title | Bounded Analytic Functions PDF eBook |
Author | Raphael Mitchel Robinson |
Publisher | |
Total Pages | 22 |
Release | 1944 |
Genre | Analytic functions |
ISBN |
Approximation by Bounded Analytic Functions to Functions Represented by Dirichlet Series
Title | Approximation by Bounded Analytic Functions to Functions Represented by Dirichlet Series PDF eBook |
Author | J. P. Evans |
Publisher | |
Total Pages | 22 |
Release | 1961 |
Genre | Functional analysis |
ISBN |
Results concerning approximation to functions analytic on a closed point set R̄0 by arbitrary functions analytic and bounded in a region R1 containing R̄0 were first established by Walsh [4] in 1938 and later extended by the present writers to the limiting case where R̄0 and the boundary of R1 have points in common [5]. It is the purpose of the present note to continue the study of this problem now in situations where the approximated function is no longer assumed analytic at points common to the boundaries of R0 and R1.