3 papers
math.AP2026
Shifted wave equation on noncompact symmetric spaces
Yulia Kuznetsova, Zhipeng Song
Let be a semisimple, connected, and noncompact Lie group with a finite center. We carry out a detailed analysis of oscillating integrals involving the Harish-Chandra -functi…
math.FA2025
On the Jacobs-de Leeuw-Glicksberg decomposition for representations of semigroups
Micky Barthmann, Sohail Farhangi, Yulia Kuznetsova
We develop a systematic study of the Jacobs-de Leeuw-Glicksberg decomposition for JdLG-admissible semigroup representations on Banach spaces, with emphasis on its structural, ergod…
math.FA2025
An overview of dualities in non-commutative harmonic analysis
Yulia Kuznetsova
These are edited notes of my mini-course given at the Analysis and PDE center of the University of Ghent, Belgium, in November 2024.