Superoscillating Sequences in Several Variables |
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| Authors: | Y Aharonov F Colombo I Sabadini D C Struppa J Tollaksen |
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| Institution: | 1.Schmid College of Science and Technology,Chapman University,Orange,USA;2.Dipartimento di Matematica,Politecnico di Milano,Milan,Italy |
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| Abstract: | 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. |
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