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Mathematics and Statistics (R0) - Hyponormal Quantization of Planar DomainsEbook Exponential Transform in Dimension Two

Mathematics and Statistics (R0) – Hyponormal Quantization of Planar DomainsEbook Exponential Transform in Dimension Two

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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,…

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SKU: ZJLXVBW3216277741144
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Description

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, approximationtheory, mathematical physics.

Langue
en
Version
livre numérique
Date de sortie initiale
29 septembre 2017
Format ebook
Adobe ePub

Personnes impliquées

Auteur principal

Mihai Putinar

Editeur principal

Springer

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Livre d‘étude
Non

EAN

EAN
9783319658100

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Science et nature

Mathématiques

Calcul et analyse mathématique

Analyse complexe

Calcul fonctionnel

Mathématiques numériques

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Ebook

Disponibilité

Disponible à l’adresse suivante

Langue

Anglais

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