Hyponormal 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: Gustafsson, Björn. (Author, http://id.loc.gov/vocabulary/relators/aut), Putinar, Mihai. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Lecture Notes in Mathematics, 2199
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-65810-0
Table of 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.