Limit theorems for rank-one Lie groups
Authors:
Alexander Gorodnik and Felipe A. Ramírez
Journal:
Proc. Amer. Math. Soc. 142 (2014), 1359-1369
MSC (2010):
Primary 37A15, 22F10; Secondary 22D40, 22E46
DOI:
https://doi.org/10.1090/S0002-9939-2014-12060-0
Published electronically:
January 29, 2014
MathSciNet review:
3162256
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Abstract | References | Similar Articles | Additional Information
Abstract: We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywhere, and we establish a more precise asymptotic formula that describes their deviations from the limit.
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Additional Information
Alexander Gorodnik
Affiliation:
School of Mathematics, University of Bristol, Bristol, United Kingdom
Email:
a.gorodnik@bristol.ac.uk
Felipe A. Ramírez
Affiliation:
School of Mathematics, University of Bristol, Bristol, United Kingdom
Email:
f.a.ramirez@bristol.ac.uk
DOI:
https://doi.org/10.1090/S0002-9939-2014-12060-0
Received by editor(s):
May 22, 2012
Published electronically:
January 29, 2014
Communicated by:
Nimish Shah
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.