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You searched IISERK - Title: Advanced distance sampling / S.T. Buckland ... [et al.].
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Call Number
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515.7
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Author
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Alpay, Daniel. author.
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Title
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An Advanced Complex Analysis Problem Book [electronic resource] : Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions / by Daniel Alpay.
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Material Info.
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IX, 521 p. online resource.
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Summary Note
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This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.
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Notes
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Prologue -- Part I, Analytic functions -- 1 Some algebra -- 2 Exercises in complex variables -- Part II, Topology and functional analysis -- 3 Topological spaces -- 4 Normed spaces -- 5 Locally convex topological vector spaces -- 6 Some functional analysis -- Part III, Hilbert spaces of analytic functions -- 7 Reproducing kernel Hilbert spaces -- 8 Hardy spaces -- 9 de Branges-Rovnyak spaces -- 10 Bergman spaces -- 11 Fock spaces -- Index -- Name index -- Notation index.
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ISBN
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9783319160597
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Subject
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Mathematics.
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Subject
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Functional analysis.
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Subject
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Operator theory.
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Subject
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Mathematics.
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Subject
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Functional Analysis.
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Subject
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Operator Theory.
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Added Entry
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SpringerLink (Online service)
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Date
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Year, Month, Day:01806291
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