Twisted Plane Wave Expansions Using Hypercomplex Methods
Fabrizio Colombo
Politecnico di Milano, ItalyIrene Sabadini
Politecnico di Milano, ItalyFranciscus Sommen
Universiteit Gent, BelgiumDaniele C. Struppa
Chapman University, Orange, USA
Abstract
The purpose of this paper is to derive various representations of the Dirac delta distribution, including a Bony-type twisted Radon decomposition, from boundary values of monogenic functions. This leads to a new and simpler approach based on the properties of the analogue of the Cauchy kernel in the context of monogenic functions.
Cite this article
Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa, Twisted Plane Wave Expansions Using Hypercomplex Methods. Publ. Res. Inst. Math. Sci. 50 (2014), no. 1, pp. 1–18
DOI 10.4171/PRIMS/123