Continuous Measures on Homogenous Spaces
Michael Björklund[1]; Alexander Fish[2]
- [1] Royal Institute of Technology (KTH) Department of Mathematics Lindstedtsvägen 25 S-100 44 Stockholm (Suède)
- [2] The Ohio State University Department of Mathematics 231 W. 18-th Ave., Columbus OH 43210 (USA)
Annales de l’institut Fourier (2009)
- Volume: 59, Issue: 6, page 2169-2174
- ISSN: 0373-0956
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topBjörklund, Michael, and Fish, Alexander. "Continuous Measures on Homogenous Spaces." Annales de l’institut Fourier 59.6 (2009): 2169-2174. <http://eudml.org/doc/10451>.
@article{Björklund2009,
abstract = {In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.},
affiliation = {Royal Institute of Technology (KTH) Department of Mathematics Lindstedtsvägen 25 S-100 44 Stockholm (Suède); The Ohio State University Department of Mathematics 231 W. 18-th Ave., Columbus OH 43210 (USA)},
author = {Björklund, Michael, Fish, Alexander},
journal = {Annales de l’institut Fourier},
keywords = {Probability measures on groups; heat kernels; Probabilities on homogeneous spaces; heat kernel; continuous measures; N. Wiener's criterion},
language = {eng},
number = {6},
pages = {2169-2174},
publisher = {Association des Annales de l’institut Fourier},
title = {Continuous Measures on Homogenous Spaces},
url = {http://eudml.org/doc/10451},
volume = {59},
year = {2009},
}
TY - JOUR
AU - Björklund, Michael
AU - Fish, Alexander
TI - Continuous Measures on Homogenous Spaces
JO - Annales de l’institut Fourier
PY - 2009
PB - Association des Annales de l’institut Fourier
VL - 59
IS - 6
SP - 2169
EP - 2174
AB - In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
LA - eng
KW - Probability measures on groups; heat kernels; Probabilities on homogeneous spaces; heat kernel; continuous measures; N. Wiener's criterion
UR - http://eudml.org/doc/10451
ER -
References
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