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13 Marzo, 2024 17:00 in punto
Sezione di Geometria, Algebra e loro applicazioni

Analyticity and Supershift

Daniele Struppa, Chapman University

The phenomenon of superoscillations has been generalized and has given rise to the concept of super-shift. With this
terminology one usually refers to functions that, if known on a countable number of points near the origin, are completely
determined throughout the real line. This concept, in a way, seems to be a form of analyticity, if the countable number of points
are collapsed to be the infinite derivatives in the origin. In this talk I will report on some joint work with Fabrizio Colombo, Irene Sabadini, and Alain Yger, and I will discuss the complex connections between these two concepts.