| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910257379203321 |
|
|
Autore |
Gustafsson Björn |
|
|
Titolo |
Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two / / by Björn Gustafsson, Mihai Putinar |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2017.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (X, 150 p. 16 illus. in color.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 0075-8434 ; ; 2199 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Functions of complex variables |
Operator theory |
Potential theory (Mathematics) |
Numerical analysis |
Functions of a Complex Variable |
Operator Theory |
Potential Theory |
Numerical Analysis |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
| |