Jim Agler, John Edward McCarthy, Nicholas John Young

Operator Analysis

Hilbert Space Methods in Complex Analysis

• Gebundenes Buch

Produktbeschreibung

A detailed monograph exploring how operator theory interacts with function theory in one and several variables.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 388
• Erscheinungstermin: 23. April 2020
• Englisch
• Abmessung: 230mm x 159mm x 30mm
• Gewicht: 695g
• ISBN-13: 9781108485449
• ISBN-10: 1108485448
• Artikelnr.: 59364198

Autorenporträt

Jim Agler is Distinguished Professor Emeritus at the University of California, San Diego. He received the G. de B. Robinson award from the Canadian Mathematical Society in 2016 and delivered the 2017 London Mathematical Society Invited Lectures. He is the co-author of Pick Interpolation and Hilbert Function Spaces (2002).

Inhaltsangabe

Part I. Commutative Theory: 1. The origins of operator-theoretic approaches to function theory
2. Operator analysis on D: model formulas, lurking Isometries, and positivity arguments
3. Further development of models on the disc
4. Operator analysis on D2
5. Carathéodory-Julia theory on the disc and the bidisc
6. Herglotz and Nevanlinna representations in several variables
7. Model theory on the symmetrized bidisc
8. Spectral sets: three case studies
9. Calcular norms
10. Operator monotone functions
Part II. Non-Commutative Theory: 11. Motivation for non-commutative functions
12. Basic properties of non-commutative functions
13. Montel theorems
14. Free holomorphic functions
15. The implicit function theorem
16. Noncommutative functional calculus
Notation.