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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two ([Ebook]) / Björn Gustafsson, Mihai Putinar
Author	Gustafsson, Björn , 1947-
Added Personal Name	Putinar, Mihai. , 1955-
Other name(s)	SpringerLink (Online resource)
Publication	Cham : Springer International Publishing AG , 2017
Physical Details	1 online resource (X, 150 pages, 16 illus. in color)
Series	Lecture Notes in Mathematics ; 2199
ISBN	978-3-319-65810-0
Summary Note	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.:
Mode of acces to digital resource	Digital book.- Cham : Springer International Publishing AG, 2017. - Mode 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
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	https://doi.org/10.1007/978-3-319-65810-0
Links to Related Works	Subject References: Hilbert space . Hyponormal operators . Mathematics . Riemann surfaces . Authors: Gustafsson, Björn 1947- . Putinar, Mihai. 1955- . Corporate Authors: SpringerLink (Online resource) . Series: Lecture Notes in Mathematics . Classification: 515.9 . 515.9 (DDC 23) .

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Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two

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