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Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two / / by Björn Gustafsson, Mihai Putinar



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Autore: Gustafsson Björn Visualizza persona
Titolo: Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two / / by Björn Gustafsson, Mihai Putinar Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (X, 150 p. 16 illus. in color.)
Disciplina: 515.7246
Soggetto topico: Functions of complex variables
Operator theory
Potential theory (Mathematics)
Numerical analysis
Functions of a Complex Variable
Operator Theory
Potential Theory
Numerical Analysis
Persona (resp. second.): PutinarMihai
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 1 Introduction -- 2 The exponential transform -- 3 Hilbert space factorization -- 4 Exponential orthogonal polynomials -- 5 Finite central truncations of linear operators -- 6 Mother bodies -- 7 Examples -- 8 Comparison with classical function spaces -- A Hyponormal operators -- Glossary -- Index -- References.
Sommario/riassunto: This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established. The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.
Titolo autorizzato: Hyponormal Quantization of Planar Domains  Visualizza cluster
ISBN: 3-319-65810-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910257379203321
Lo trovi qui: Univ. Federico II
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2199