Screen LibraryHyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two /
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 o...
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| Main Authors: | |
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| Published: |
Springer International Publishing : Imprint: Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Lecture Notes in Mathematics,
2199 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-3-319-65810-0 |
| Summary: |
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 |
| Carrier Form: | 1 online resource (X, 150 pages): illustrations. |
| ISBN: | 9783319658100 |
| Index Number: | QA331 |
| CLC: | O174.5 |
| Contents: | 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. |