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New perspectives in hyperbolic function theory

Research output: Collection of articlesDoctoral Thesis

Details

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
StatePublished - 28 Apr 2010
Publication typeG5 Doctoral dissertation (article)

Publication series

NameTampere University of Technology. Publication
PublisherTampere University of Technology
Volume892
ISSN (Print)1459-2045

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.

Open access publication

Country of publishing

Publication forum classification

Field of science, Statistics Finland