Supershift and Analyticity

Daniele C. Struppa () and Alain Yger ()
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Daniele C. Struppa: Chapman University, The Kennedy Chair in Mathematics
Alain Yger: Université de Bordeaux, IMB

Chapter 92 in Operator Theory, 2026, pp 2835-2857 from Springer

Abstract: Abstract When superoscillations are evolved using the Schrödinger equation with nontrivial potentials, a new phenomenon arises, which has been called “supershift.” It appears that this phenomenon is strictly connected with the concept of analyticity, and many studies have been devoted to a clarification of the relationship between these two concepts. While a conclusive response remains elusive, this chapter offers an up-to-date analysis of the situation.

Keywords: Real analyticity; Supershift; Superoscillation; Sampling; 42C10; 26E05 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16356-1_97

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