東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Hyponormal quantization of planar do...

Gustafsson, Bjorn.

Linked to FindBook

Google Book

Amazon

博客來

Hyponormal quantization of planar domains = exponential transform in dimension two /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hyponormal quantization of planar domains/ by Bjorn Gustafsson, Mihai Putinar.
Reminder of title:	exponential transform in dimension two /
Author:	Gustafsson, Bjorn.
other author:	Putinar, Mihai.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	x, 150 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Hyponormal operators. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65810-0
ISBN:	9783319658100

Hyponormal quantization of planar domains = exponential transform in dimension two /
Gustafsson, Bjorn.

Hyponormal quantization of planar domainsexponential transform in dimension two /[electronic resource] :by Bjorn Gustafsson, Mihai Putinar. - Cham :Springer International Publishing :2017. - x, 150 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21990075-8434 ;. - Lecture notes in mathematics ;2199..

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.

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.

ISBN: 9783319658100

Standard No.: 10.1007/978-3-319-65810-0doiSubjects--Topical Terms:

700915
Hyponormal operators.

LC Class. No.: QA329.2

Dewey Class. No.: 515.7246

Hyponormal quantization of planar domains = exponential transform in dimension two /
LDR:02378nmm a2200325 a 4500 001 2109138
003 DE-He213
005 20180327170023.0
006 m d
007 cr nn 008maaau
008 180519s2017 gw s 0 eng d
020 $a 9783319658100 $q (electronic bk.)
020 $a 9783319658094 $q (paper)
024 7 $a 10.1007/978-3-319-65810-0 $2 doi
035 $a 978-3-319-65810-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.2
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.7246 $2 23
090 $a QA329.2 $b .G982 2017
100 1 $a Gustafsson, Bjorn. $3 2111709
245 1 0 $a Hyponormal quantization of planar domains $h [electronic resource] : $b exponential transform in dimension two / $c by Bjorn Gustafsson, Mihai Putinar.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a x, 150 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2199
505 0 $a 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.
520 $a 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.
650 0 $a Hyponormal operators. $3 700915
650 0 $a Riemann surfaces. $3 519716
650 0 $a Hilbert space. $3 558371
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Potential Theory. $3 893956
650 2 4 $a Numerical Analysis. $3 892626
700 1 $a Putinar, Mihai. $3 1619963
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2199. $3 3259193
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-65810-0
950 $a Mathematics and Statistics (Springer-11649)