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New Perspectives in Hyperbolic Function Theory

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URN: http://URN.fi/URN:NBN:fi:tty-201006031139
Title: New Perspectives in Hyperbolic Function Theory
Author: Orelma, Heikki
Publication type: Doctoral dissertation
Issue date: 2010-04-28
University: Tampere University of Technology
Faculty: Faculty of Science and Environmental Engineering
Department: Department of Mathematics
Abstract: In this thesis we are working with a function theory on the hyperbolic upper-half space. The function theory is called the hyperbolic function theory and it is studied since 1990's by Heinz Leutwiler and Sirkka-Liisa Eriksson. The advantage of the hyperbolic function theory is that positive and negative powers of hypercomplex variables are included to the theory. Thus the hyperbolic function theory offers a natural generalization of classical complex analysis.
Copyright: This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.


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