SEMINARIO DE ANÁLISIS Y APLICACIONES
HOMENAJE A EUGENIO HERNÁNDEZ

Jueves, 5 de junio de 2025

12:00, Aula 520, departamento de Matemáticas

Hrvoje ˇSikic´

University of Zagreb

Dual Integrable Representations

Resumen:
Based on the studies of wavelets and the generalizations of the Zak transform, dual
integrable representations of locally compact Abelian groups were introduced some
fifteen years ago in a joint work with E. Hern ´ andez, G.Weiss, and E. N.Wilson. Recently,
in a joint work with I. Slamic, we were able to extend the notion to the class of all locally
compact groups. The key notion of the bracket function can be fully extended, but
it looses the property akin to the Schwarz inequality, which causes some difficulties in
the analysis of the non-Abelian case.