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Absolutely continuous invariant measures for a class of meromorphic functions

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Absolutely continuous invariant measures for a class of meromorphic functions

Obeid, Nabil (1998) Absolutely continuous invariant measures for a class of meromorphic functions. Masters thesis, Concordia University.

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Abstract

We are going to consider a meromorphic function g: $\Re \to \Re,$ which has a constant sign in the upper half plan. We will show that it has a special form$${\rm g(z) = A} + \varepsilon\left\lbrack Bz- \sum\sb{s} p\sb{s} ({1\over{z-c\sb{s}}}{+}{1\over {c\sb{s}}})\right\rbrack$$where the poles are real and simples. Subsequently, we will demonstrate that it has an absolutely continuous invariant measure. Finally, we will present an example to emphasise the use of this transformation.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Obeid, Nabil
Pagination:vii, 43 leaves ; 29 cm.
Institution:Concordia University
Degree Name:Theses (M.Sc.)
Program:Mathematics and Statistics
Date:1998
Thesis Supervisor(s):Gora, Pawel
ID Code:499
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 13:12
Last Modified:08 Dec 2010 10:14
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