: 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.
|Published (Last):||26 June 2007|
|PDF File Size:||18.80 Mb|
|ePub File Size:||19.27 Mb|
|Price:||Free* [*Free Regsitration Required]|
Bergman spaces / Peter Duren, Alexander Schuster – Details – Trove
Author dureb Product display: Views Read Edit View history. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory.
Thus A p D is the subspace of holomorphic functions that are in the space L p D. The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis.
Online Price 3 Label: This page was last edited on 3 Februaryat Online Price 1 Label: You can help Wikipedia by expanding it. Print Price 1 Label: Publication Month and Year: It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Mathematical Surveys and Monographs Volume: From Wikipedia, the free encyclopedia.
Advanced graduate students and research mathematicians interested in complex function theory and operator theory. Print Price 3 Label: This mathematical analysis —related article is a stub. Join our email list. In complex analysisfunctional analysis and operator theorya Bergman space is a function space of holomorphic functions in a domain D of the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable.
Dual Price 1 Label: Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together.
Duren , Khavinson , Shapiro , Sundberg : Contractive zero-divisors in Bergman spaces.
Ordering on the AMS Bookstore is limited to individuals for personal use only. The weighted Bergman space A p D is defined in an analogous way,  i. The Bergman spaces are Banach spaceswhich is a diren of the estimate, valid on compact subsets K of D:.
Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergencespacrs so the limit function is also holomorphic. In weighted case we have .
Peter Duren ; Alexander Schuster. 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.
Online Price 2 Label: Bbergman Surveys and Monographs. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.
Libraries and resellers, please contact cust-serv ams.