The singularity of orbital measures on compact Lie groups.

Hare, Kathryn E., and Yee, Wai Ling. "The singularity of orbital measures on compact Lie groups.." Revista Matemática Iberoamericana 20.2 (2004): 517-530. <http://eudml.org/doc/39717>.

@article{Hare2004,
abstract = {We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.},
author = {Hare, Kathryn E., Yee, Wai Ling},
journal = {Revista Matemática Iberoamericana},
keywords = {Medidas; Transformada de Fourier; Grupos de Lie; Análisis armónico abstracto; orbital measures; compact Lie group; characters},
language = {eng},
number = {2},
pages = {517-530},
title = {The singularity of orbital measures on compact Lie groups.},
url = {http://eudml.org/doc/39717},
volume = {20},
year = {2004},
}

TY - JOUR
AU - Hare, Kathryn E.
AU - Yee, Wai Ling
TI - The singularity of orbital measures on compact Lie groups.
JO - Revista Matemática Iberoamericana
PY - 2004
VL - 20
IS - 2
SP - 517
EP - 530
AB - We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.
LA - eng
KW - Medidas; Transformada de Fourier; Grupos de Lie; Análisis armónico abstracto; orbital measures; compact Lie group; characters
UR - http://eudml.org/doc/39717
ER -