LIMIT THEOREMS FOR RANK-ONE LIE GROUPS

Alexander Gorodnik; Felipe A. Ramirez

LIMIT THEOREMS FOR RANK-ONE LIE GROUPS

Alexander Gorodnik^*
, Felipe A. Ramirez

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	1359-1369
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	4
Publication status	Published - Apr 2014

Keywords

POINTWISE ERGODIC-THEOREMS
RADIAL AVERAGES
RAMANUJAN DUALS
REPRESENTATIONS

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title = "LIMIT THEOREMS FOR RANK-ONE LIE GROUPS",

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.",

keywords = "POINTWISE ERGODIC-THEOREMS, RADIAL AVERAGES, RAMANUJAN DUALS, REPRESENTATIONS",

author = "Alexander Gorodnik and Ramirez, \{Felipe A.\}",

year = "2014",

month = apr,

language = "English",

volume = "142",

pages = "1359--1369",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "4",

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TY - JOUR

T1 - LIMIT THEOREMS FOR RANK-ONE LIE GROUPS

AU - Gorodnik, Alexander

AU - Ramirez, Felipe A.

PY - 2014/4

Y1 - 2014/4

N2 - 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.

AB - 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.

KW - POINTWISE ERGODIC-THEOREMS

KW - RADIAL AVERAGES

KW - RAMANUJAN DUALS

KW - REPRESENTATIONS

M3 - Article (Academic Journal)

SN - 0002-9939

VL - 142

SP - 1359

EP - 1369

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

LIMIT THEOREMS FOR RANK-ONE LIE GROUPS

Abstract

Keywords

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