Description: Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two, Paperback by Gustafsson, Björn; Putinar, Mihai, ISBN 3319658093, ISBN-13 9783319658094, Brand New, Free shipping in the US
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.
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Book Title: Hyponormal Quantization of Planar Domains : Exponential Transform
Number of Pages: X, 150 Pages
Language: English
Publication Name: Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two
Publisher: Springer International Publishing A&G
Subject: Functional Analysis, Vector Analysis, Complex Analysis, Mathematical Analysis
Publication Year: 2017
Type: Textbook
Item Weight: 89.1 Oz
Author: Bjö Gustafsson, Mihai Putinar
Subject Area: Mathematics
Item Length: 9.3 in
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
