Український математичний конгрес - 2009

Vladimir V Kisil (University of Leeds, Leeds, England)

Hypercomplex analysis in the upper half-plane

Complex analysis seems to be the only non-trivial analytic function theory in the two dimensional case. However one can employ the group SL(2,R) and its representation theory in order to build elements of analytic functions with complex, dual and double numbers. This is a part of "Erlangen Programme at Large" approach in analysis.