Department of Mathematics,
University of California San Diego
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Math 248: Real Analysis Seminar
Dr. Daniele Struppa
Chapman University
Superoscillations, supershift, analyticity
Abstract:
Superoscillations arise naturally in several different field, including quantum mechanics, where they are connected with the notion of weak measurements. The concept of superoscillation is simple: it refers to a function that oscillates faster than its largest Fourier component. In this talk I will explore a few important questions regarding superoscillations. In particular I will discuss the question of longevity of superoscillations when evolved according to a suitable Schrödinger equation, and the way in which this question leads naturally to the related notion of supershift. This, in turn, will lead us to a rather complex question regarding the connection between supershift and analyticity.
Host: John N. Treuer
December 2, 2025
3:00 PM
APM 6402
Research Areas
Functional Analysis / Operator Theory****************************
