3 papers
math.CV2024
-Rational functions and interpolation with complete Nevanlinna Pick Kernels
Daniel Alpay, Paula Cerejeiras, Uwe Kaehler +1
In this paper we introduce the concept of matrix-valued -rational functions. In comparison to the classic case we give different characterizations with principal emphasise on re…
math.AP2023
Variational principles in quaternionic analysis with applications to the stationary MHD equations
Paula Cerejeiras, Uwe Kaehler, Rolf Soeren Krausshar
In this paper we aim to combine tools from variational calculus with modern techniques from quaternionic analysis that involve Dirac type operators and related hypercomplex integra…
math.CV2014
Generating functions for spherical harmonics and spherical monogenics
Paula Cerejeiras, Uwe Kaehler, Roman Lavicka
In this paper, we study generating functions for the standard orthogonal bases of spherical harmonics and spherical monogenics in R^m. Here spherical monogenics are polynomial solu…