Ebook BookHankel Operators and Their Applications (Springer Monographs in Mathematics)

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Free Download Hankel Operators and Their Applications (Springer Monographs in Mathematics)

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Book Details :
Published on: 2010-10-20
Released on: 2003-01-14
Original language:

The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func­ tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co­ ordinates) with respect to some orthonormal basis. Finite matrices with this property were introduced by Hankel, who found interesting algebraic properties of their determinants. One of the first results on infinite Han­ kel matrices was obtained by Kronecker, who characterized Hankel matri­ ces of finite rank as those whose entries are Taylor coefficients of rational functions. Since then Hankel operators (or matrices) have found numerous applications in classical problems of analysis, such as moment problems, orthogonal polynomials, etc. Hankel operators admit various useful realizations, such as operators on spaces of analytic functions, integral operators on function spaces on (0,00), operators on sequence spaces. In 1957 Nehari described the bounded Hankel operators on the sequence space £2. This description turned out to be very important and started the contemporary period of the study of Hankel operators. We begin the book with introductory Chapter 1, which defines Hankel operators and presents their basic properties. We consider different realiza­ tions of Hankel operators and important connections of Hankel operators with the spaces BMa and V MO, Sz. -Nagy-Foais functional model, re­ producing kernels of the Hardy class H2, moment problems, and Carleson imbedding operators. [ihtik.lib.ru] _ [ihtik.lib.ru] _. : 14292 : 573 GB; ; d:\_ihtik.lib.ru\2012.03 ... Le Live Marseille : aller dans les plus grandes soires ... Retrouvez toutes les discothque Marseille et se retrouver dans les plus grandes soires en discothque Marseille. web.mit.edu / jik/src/Attic/kerberos_ password - . .mn 0 01 05_1 1 10 100 10th 11 11_d0003 12 13 14 141a 143b 15 16 17 17igp 18 19 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 ... VARIOUS NUMBER THEORISTS' HOMEPAGES/DEPARTMENTAL LISTINGS Various Number Theorists' Home Pages/Departmental listings Complete listing [ A B C D E F G H I J K L M] [ N O P Q R S T U V ...
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