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MARC 21

Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two
Tag	Description
020	$a978-3-319-65810-0
082	$a515.9
099	$aOnline Resource: Springer
100	$aGustafsson, Björn$d1947-
245	$aHyponormal Quantization of Planar Domains$bExponential Transform in Dimension Two$h[Ebook]$cBjörn Gustafsson, Mihai Putinar
260	$aCham$bSpringer International Publishing AG$c2017
300	$a1 online resource (X, 150 pages, 16 illus. in color)
440	$aLecture Notes in Mathematics$v2199
520	$aThis 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.
533	$aDigital book.-$bCham :$cSpringer International Publishing AG,$d2017. -$fLecture Notes in Mathematics$nMode of access : World Wide Web. - System requirements : Internet Explorer 6.0 (or higher) of Firefox 2.0 (or higher). Available as searchable text in PDF format. or ePub
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aPutinar, Mihai$d1955-
710	$aSpringerLink (Online resource)
856	$uhttps://doi.org/10.1007/978-3-319-65810-0