JournalsprimsVol. 55, No. 4pp. 665–688

Superoscillating Sequences and Hyperfunctions

  • Fabrizio Colombo

    Politecnico di Milano, Italy
  • Irene Sabadini

    Politecnico di Milano, Italy
  • Daniele C. Struppa

    Chapman University, Orange, USA
  • Alain Yger

    Université de Bordeaux, Talence, France
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Abstract

In this paper we discuss the approximation of hyperfunctions in one variable using sequences of low frequency hyperfunctions. In particular, we show that this superoscillation property holds for compactly supported hyperfunctions. Finally, we show that the approximation is also possible for tempered hyperfunctions.

Cite this article

Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, Alain Yger, Superoscillating Sequences and Hyperfunctions. Publ. Res. Inst. Math. Sci. 55 (2019), no. 4, pp. 665–688

DOI 10.4171/PRIMS/55-4-1