Quaternionic functional Analysis and Hypercomplex Analysis

Functional analysis in a quaternionic (or more generally noncommutative) framework was  originally motivated by the remark of G. Birkhoff and J. von Neumann that quantum mechanics may be formulated not only on complex Hilbert spaces, but also on Hilbert spaces having the quaternions as the set of scalars. We study the theory of functions of one or several variables and its applications to noncommutative functional analysis, in particular to quaternionic spectral analysis and quaternionic operators semigroups.

Research groups