Superoscillating Sequences in Several Variables

Stefano Pinton () and Irene Sabadini ()
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Stefano Pinton: Politecnico di Milano, Dipartimento di Matematica
Irene Sabadini: Politecnico di Milano, Dipartimento di Matematica

Chapter 94 in Operator Theory, 2026, pp 2881-2909 from Springer

Abstract: Abstract In this essay, we present the theory of superoscillating and supershift sequences in several variables. We trace the development of the theory from the early studies, where such sequences were introduced in the context of finding solutions to the Schrödinger equation, to the most recent advancements, which explore superoscillating and supershift sequences for functions defined in Clifford algebras.

Keywords: General superoscillatory functions; Supershifts in several variables; 26A09; 41A60 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-16356-1_99

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DOI: 10.1007/978-3-032-16356-1_99

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