Seip, Kristian creator Seip, Kristian text Providence, Island : American Mathematical Society ©2004 monographic eng

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xii, 139 pages : illustrations ; 25 cm. "The book is about understanding the geometry of interpolating and sampling sequences in classical spaces of analytic functions. The subject can be viewed as arising from three classical topics: Nevanlinna-Pick interpolation, Carleson's interpolation theorem for H[superscript [infinity]], and the sampling theorem, also known as the Whittaker-Kotelnikov-Shannon theorem." "The book aims at clarifying how certain basic properties of the space at hand are reflected in the geometry of interpolating and sampling sequences. Key words for the geometric descriptions are Carleson measures, Beurling densities, the Nyquist rate, and the Helson-Szego condition." "The book is based on six lectures given by the author at the University of Michigan. This is reflected in the exposition, which is a blend of informal explanations with technical details." "The book is essentially self-contained. There is an underlying assumption that the reader has a basic knowledge of complex and functional analysis. Beyond that, the reader should have some familiarity with the basic of H[superscript p] theory and BMO."--Jacket Ch. 1. Carleson's interpolation theorem -- Ch. 2. Interpolating sequences and the Pick property -- Ch. 3. Interpolation and sampling in Bergman spaces -- Ch. 4. Interpolation in the Bloch space -- Ch. 5. Interpolation, sampling, and Toeplitz operators -- Ch. 6. Interpolation and sampling in Paley-Wiener spaces. / Kristian Seip Mathematics Analysis Analytic functions Hardy classes Generalized spaces Interpolation Classes de Hardy Analytische Funktion Hardy-Klasse 515.9 SEL 9780821835548 :Zafaa Books & Distributors ;313/56F 49A, Anand Nagar Inderlok Delhi 110035 220325 20220531114843.0