Institute of Mathematics for Industry


List All(1090) Today and tomorrow's seminars(1)

Analogues of M\"untz-Szasz's theorem for some Lie groups

Hold Date 2018-12-07 16:00~2018-12-07 17:00

Place Seminar Room W1-D-610, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Ali Baklouti (Sfax University)

The talk consists in showing how to generate in the setting of some compact extensions of nilpotent Lie groups, some analogues of M\"untz-Szasz’s theorem proved way back in 1914 for L^2([0,1]). This requires the introduction of the notion of real Muentz-Szasz's sequences and their generalized powers and allows to establish some analogues for L^2_c(R^n) and C_c(R^n). The representation theory plays an important role in the proofs.