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. ...
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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.
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Add this copy of Bergman Spaces (Mathematical Surveys & Monographs) to cart. $76.08, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2004 by American Mathematical Society.
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New. Over the years, the theory of Bergman spaces has undergone a remarkable metamorphosis. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. This book is suitable for those who have studied basic complex function theory, measure theory, and functional analysis. Editor(s): Duren, P. L.; Schuster, Alexander. Series: Mathematical Surveys and Monographs. Num Pages: 318 pages. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 260 x 178 x 0. Weight in Grams: 794. 2004. 0th Edition. Hardcover.....We ship daily from our Bookshop.