Author : Peter L. Duren
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 109/5 ( reviews)
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Book Synopsis Bergman Spaces by : Peter L. Duren
Download or read book Bergman Spaces written by Peter L. Duren. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: The modern subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Hardy spaces but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. This book develops background material and provides a self-contained introduction to a broad range of old and new topics in Bergman spaces, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces. It is accessible to anyone who has studied basic real and complex analysis at the graduate level.