Superoscillating Sequences and Hyperfunctions

Fabrizio Colombo; Irene Sabadini; Daniele C. Struppa; Alain Yger

doi:10.4171/prims/55-4-1

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

Superoscillating Sequences and Hyperfunctions

Fabrizio Colombo
Politecnico di Milano, Italy
MathSciNet zbMATH Open
Irene Sabadini
Politecnico di Milano, Italy
MathSciNet zbMATH Open
Daniele C. Struppa
Chapman University, Orange, USA
MathSciNet zbMATH Open
Alain Yger
Université de Bordeaux, Talence, France
MathSciNet zbMATH Open

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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