New perspectives in hyperbolic function theory

Orelma, Heikki (2010)
 
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Orelma, Heikki
Tampere University of Technology
2010

Luonnontieteiden ja ympäristötekniikan tiedekunta - Faculty of Science and Environmental Engineering
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http://urn.fi/URN:NBN:fi:tty-201006031139
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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.
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