Ruijsenaars spectral transform
Organizers
Speaker
Time
Tuesday, October 8, 2024 4:00 PM - 5:00 PM
Venue
A6-101
Online
Zoom 873 9209 0711
(BIMSA)
Abstract
Recent success in the study of Baxter $Q$ operators in Ruijsenaars hyperbolic system led to the establishment, besides of bispectral duality, of the duality concerning reflection of the coupling constant. It also gives a way to prove the orthogonality and completeness of the wave functions. The corresponding integral transform, defined for complex-valued parameters, can be regarded as a generalization of the Laplace transform. We prove an analog of the classical inversion formula and apply it for establishing $L_2$ isomorphisms of Ruijsenaars spectral transform in 4 regimes of unitarity of the system.
Speaker Intro
Sergey Khoroshkin is a professor of Higher School of Economy in Moscow. His research interests include representation theory, quantum integrable systems and special functions.