JournalsprimsVol. 50, No. 1pp. 1–18

Twisted Plane Wave Expansions Using Hypercomplex Methods

  • Fabrizio Colombo

    Politecnico di Milano, Italy
  • Irene Sabadini

    Politecnico di Milano, Italy
  • Franciscus Sommen

    Universiteit Gent, Belgium
  • Daniele C. Struppa

    Chapman University, Orange, USA
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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