Files in this item

FilesDescriptionFormat

application/pdf

application/pdf9990125.pdf (3MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:The Rate of Decay of Concentration Functions on Locally Compact Groups
Author(s):Retzlaff, Todd M.
Doctoral Committee Chair(s):Joseph Max Rosenblatt
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:Given an adapted probability measure on a locally compact group, there are a variety of support conditions which cause the concentration functions to go to zero. This work discusses the rate of this decay under many such conditions. This work focuses primarily on concentration functions for discrete groups, though some results are also obtained for non-discrete groups. In particular, we show that, when G is discrete and satisfies the volume growth condition V(n) ≥ cnD , then if the concentration functions go to zero they do so at a rate of at least O(k-D /2). These results are based heavily on the work of Varopoulos, Saloff-Coste, and Colhoun.
Issue Date:2000
Type:Text
Language:English
Description:72 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/87006
Other Identifier(s):(MiAaPQ)AAI9990125
Date Available in IDEALS:2015-09-28
Date Deposited:2000


This item appears in the following Collection(s)

Item Statistics