An overview of dualities in non-commutative harmonic analysis
Yulia Kuznetsova
TL;DR
This paper provides an overview of dualities in non-commutative harmonic analysis, summarizing key concepts and recent developments in the field.
Contribution
It offers a comprehensive summary of dualities in non-commutative harmonic analysis, highlighting recent advances and open problems.
Findings
Summarizes key duality principles in non-commutative harmonic analysis.
Highlights recent progress in the field.
Identifies open problems and future directions.
Abstract
These are edited notes of my mini-course given at the Analysis and PDE center of the University of Ghent, Belgium, in November 2024.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Quantum Mechanics and Applications · Quantum Mechanics and Non-Hermitian Physics