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The Backward Shift on the Hardy Space
Joseph A. CimaWilliam T. Ross
出版American Mathematical Soc., 2000
主題Mathematics / CalculusMathematics / Functional AnalysisMathematics / Complex Analysis
ISBN08218208349780821820834
URLhttp://books.google.com.hk/books?id=bMHyBwAAQBAJ&hl=&source=gbs_api
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註釋Discusses the invariant subspaces of the backward shift operator on the Hardy space, integrating research unavailable in the West. After an introductory overview, chapters review classical boundary value results, and discuss basic definitions of the Hardy spaces, Fourier analysis, and bonded mean oscillation, then examine the atomic decomposition of a distribution arising from a Hardy space function. Later chapters offer proofs of the description of the B-invariant subspaces of the Hardy space, and develop a full proof of Aleksandrov's characterization of the B-invariant subspaces for the Hardy space. Assumes background in functional analysis and function theory. Cima teaches mathematics at the University of North Carolina-Chapel Hill. Ross teaches at the University of Richmond. Annotation copyrighted by Book News, Inc., Portland, OR