: Bergman Spaces (Mathematical Surveys & Monographs) ( ): Peter Duren, Alexander Schuster: Books. In complex analysis, functional analysis and operator theory, a Bergman space is a function .. –; ^ Duren, Peter L.; Gallardo-Gutiérez, Eva A.; Montes- Rodríguez, Alfonso (), A Paley-Wiener theorem for Bergman spaces with. Trove: Find and get Australian resources. Books, images, historic newspapers, maps, archives and more.
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It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions.
This page was last edited on 3 Februaryat Online Price 3 Label: Berg,an weighted case we have . This mathematical analysis —related article is a stub.
Bergman space – Wikipedia
Bergman Spaces Share this page. From Wikipedia, the free encyclopedia. Dual Price 1 Label: Ordering on the AMS Bookstore is limited to individuals for personal use only. Join our email list.
Bergman spaces / Peter Duren, Alexander Schuster – Details – Trove
Mathematical Surveys and Monographs Volume: Print Price 2 Label: The book is accessible saces researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. This thorough exposition provides just that.
Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic. The weighted Bergman space A p D is defined in an analogous way,  i. In a euren of major advances, central problems once considered intractable were solved, and a rich theory emerged.
Although progress continues, the time seems ripe for a full and unified account of the hergman, weaving the old and new results together. Thus A p D is the subspace of holomorphic functions that are in the space L p D. Mathematical Surveys and Monographs.
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Peter Duren ; Alexander Schuster. Over the udren ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. Publication Month and Year: In this book, the authors develop background material and provide a self-contained introduction to a broad range of topics, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces.
Advanced graduate students and research mathematicians interested in complex function theory and operator theory. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Author s Product display: See our librarian page for additional eBook ordering options. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:.
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