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Superoscillating Sequences and Hyperfunctions.

Authors :
COLOMBO, Fabrizio
SABADINI, Irene
STRUPPA, Daniele C.
YGER, Alain
Source :
Publications of the Research Institute for Mathematical Sciences. 2019, Vol. 55 Issue 4, p665-688. 24p.
Publication Year :
2019

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 ap- proximation is also possible for tempered hyperfunctions. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*DIFFERENTIAL operators

Details

Language :
English
ISSN :
00345318
Volume :
55
Issue :
4
Database :
Academic Search Index
Journal :
Publications of the Research Institute for Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
139672366
Full Text :
https://doi.org/10.4171/PRIMS/55-4-1