The $(k, a)$-generalized Fourier transform $\mathscr{F}_{k, a}$ introduced by Ben Saïd--Kobayashi--Ørsted is a deformation family of the classical Fourier transform with a Dunkl parameter $k$ and a parameter $a > 0$ that interpolates minimal representations of two different simple Lie groups. In this session, we will talk about some new results when $a$ is not positive. As a main result, we find a unitary transform that intertwines the known case $a > 0$ and the new case $a > 0$.
De Toshiyuki Kobayashi
De Pierre Julg
De Quentin Labriet
De Víctor Pérez-Valdés
De Guendalina Palmirotta
De Christian Arends
De Tomasz Przebinda
De Masatoshi Kitagawa
De Janet Flikkema
De Robin van Haastrecht
De Tatsuro Hikawa
De Temma Aoyama
De Yuichiro Tanaka
De Pierre Clare
De Neza Zager Korenjak
De Colin Davalo
