Iterated function systems, moments, and transformations of infinite matrices

Palle E T Jorgensen; Keri A Kornelson; Karen L Shuman

doi:10.1090/S0065-9266-2011-00627-1

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Iterated function systems, moments, and transformations of infinite matrices

Palle E T Jorgensen, Keri A Kornelson and Karen L Shuman

Memoirs of the American Mathematical Society, no. 1003, American Mathematical Society

2011

DOI: 10.1090/S0065-9266-2011-00627-1

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https://arxiv.org/pdf/0809.2124View

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Abstract

Examines the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Their main object of study is the infinite matrix which encodes all the moment data of a Borel measure on $\mathbb{R}^d$ or $\mathbb{C}$.

Iteration (Mathematics)

Transformations (Mathematics)

Matrices, Infinite

Infinite matrices

Iterative methods (Mathematics)

Details

Title: Subtitle: Iterated function systems, moments, and transformations of infinite matrices
Creators: Palle E T Jorgensen - University of Iowa, Mathematics
Keri A Kornelson
Karen L Shuman
Resource Type: Book
Series: Memoirs of the American Mathematical Society; no. 1003
DOI: 10.1090/S0065-9266-2011-00627-1
ISBN: 9781470406202; 1470406209; 0821852485; 9780821852484
eISBN: 9781470406202; 1470406209
ISSN: 0065-9266
Publisher: American Mathematical Society; Providence, Rhode Island
Number of pages: ix, 105 pages
Language: English
Date published: 2011
Academic Unit: Mathematics
Record Identifier: 9983995482602771

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