: 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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Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together.
The weighted Bergman space A p D is defined in an analogous way,  i. Online Price 3 Label: In weighted case we have . Dual Price 1 Label: The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory.
Retrieved from ” https: Peter Duren ; Alexander Schuster. If the domain D is boundedthen the norm is often given by.
In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged. It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions.
Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis.
Ordering on the AMS Bookstore is limited to individuals for personal use only. This thorough exposition provides just that. Mathematical Surveys and Monographs. Thus A p D is the subspace of holomorphic functions that are in the space L p D. This mathematical analysis —related article is a stub. Join our email list.
Duren , Khavinson , Shapiro , Sundberg : Contractive zero-divisors in Bergman spaces.
Mathematical Surveys and Monographs Volume: Print Price 2 Label: Author s Product display: Publication Month and Year: Advanced graduate students and research mathematicians interested in complex function theory and operator theory. See our librarian page for additional eBook ordering options. Libraries and resellers, please contact cust-serv ams.
Print Price 3 Label: 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. You can help Wikipedia by expanding it. Views Read Edit View history.
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