A Primer On The Dirichlet Space
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A Primer on the Dirichlet Space
Author: Omar El-Fallah
language: en
Publisher: Cambridge University Press
Release Date: 2014-01-16
The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.
Primer on the Dirichlet Space
Author: Omar El-Fallah. Karim Kellay. Javad Mashreghi. Thomas Ransford
language: en
Publisher:
Release Date: 2013
A Primer on the Dirichlet Space
The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and uniqu.