Hyponormal Quantization of Planar Domains (inbunden)
Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
150
Utgivningsdatum
2017-09-30
Upplaga
1st ed. 2017
Förlag
Springer International Publishing AG
Medarbetare
Putinar, Mihai
Illustratör/Fotograf
Bibliographie 20 farbige Abbildungen
Illustrationer
16 Illustrations, color; X, 150 p. 16 illus. in color.
Dimensioner
234 x 156 x 9 mm
Vikt
236 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783319658094

Hyponormal Quantization of Planar Domains

Exponential Transform in Dimension Two

Häftad,  Engelska, 2017-09-30
413
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Hyponormal Quantization of Planar Domains Kan tyvärr inte längre levereras innan julafton.
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, approximationtheory, mathematical physics.
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Innehållsförteckning

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.