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Thesis

Besov functional calculus for two commuting operators

Abstract:

The subject of this dissertation is the construction of a functional calculus for functions of two variables and pairs of commuting operators.

Analytic Besov functions in one variable in the context of operator theory appeared in the works of Vladimir V. Peller, Steven White, and Pascal Vitse. More recently, Charles Batty, Aleander Gomilko, and Yuri Tomilov offered a novel and unifying approach to constructing a functional calculus for the generators of bounded semigroups on Hilbe...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Functional Analysis
Oxford college:
Queen's College
Role:
Author

Contributors

Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Functional Analysis
Oxford college:
St John's College
Role:
Supervisor
Institution:
Newcastle University
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
Deposit date:
2021-11-23

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