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.

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Superoscillating Sequences in Several Variables

  • Stefano Pinton,
  • Irene Sabadini

摘要

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.