The fields of Clifford and quaternionic analysis are
rather recent ones dedicated to the extension of classical analysis to
non-commutative structures while preserving and exploiting its
underlined geometric properties. Research activities are focused on the
study of functions belonging to the null-space of a Dirac or higher
spin operator as well as their broad applications in PDE's,
mathematical physics, signal and image processing and other areas of
applied sciences. The main goal of the ISAAC Group in Clifford and
Quaternionic Analysis (IGCQA) is to promote Clifford analysis and connect
researchers from pure and applied mathematics as well as engineering areas working
with Clifford-analytic, quaternionic as well as hypercomplex methods.
To this end the interest group supports activities in all areas related
to or adjacent to Clifford analysis such as gauge theories,
mathematical physics, image processing, robotics, operator theory,
geometric algebras, etc. within the ISAAC community.
The group will promote activities in the area, bringing
together members from different backgrounds. It will also demonstrate
its visibility in the ISAAC community by organizing special session(s),
workshops, intensive courses, etc., about the topic of interest of the
group at every ISAAC congress.
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