Superoscillating Sequences in Several Variables

Y. Aharonov, F. Colombo*, I. Sabadini, D. C. Struppa, J. Tollaksen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In a series of papers (J Phys A 44:365304, 2011; Complex Anal Oper Theory 7:1299–1310, 2013; J Math Pures Appl 99:165–173, 2013; J Math Pures Appl 103:522–534, 2015), we have investigated some mathematical properties of superoscillating sequences in one variable, and their persistence in time. In this paper we study the notion of superoscillation in several variables and we show how to construct examples of sequences that exhibit this property.

Original languageEnglish
Pages (from-to)751-767
Number of pages17
JournalJournal of Fourier Analysis and Applications
Issue number4
StatePublished - 1 Aug 2016
Externally publishedYes


  • Generalized Fourier sequences in several variables
  • Series of differential operators
  • Spaces of holomorphic functions


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