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New perspectives in hyperbolic function theory

Research output: Book/ReportDoctoral thesisCollection of Articles


Original languageEnglish
Place of PublicationTampere
PublisherTampere University of Technology
Number of pages37
ISBN (Electronic)978-952-15-2390-8
ISBN (Print)978-952-15-2365-6
Publication statusPublished - 28 Apr 2010
Publication typeG5 Doctoral dissertation (article)

Publication series

NameTampere University of Technology. Publication
PublisherTampere University of Technology
ISSN (Print)1459-2045


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.

Publication forum classification

Field of science, Statistics Finland

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