Superoscillations and Analytic Extension in Schur Analysis

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We give applications of the theory of superoscillations to various questions, namely extension of positive definite functions, interpolation of polynomials and also of R-functions; we also discuss possible applications to signal theory and prediction theory of stationary stochastic processes. In all cases, we give a constructive procedure, by way of a limiting process, to get the required results.

Original languageEnglish
Article number28
JournalJournal of Fourier Analysis and Applications
Issue number2
StatePublished - 1 Apr 2021
Externally publishedYes


  • Analytic extension
  • Stationary stochastic processes
  • Superoscillations

ASJC Scopus subject areas

  • Analysis
  • Mathematics (all)
  • Applied Mathematics


Dive into the research topics of 'Superoscillations and Analytic Extension in Schur Analysis'. Together they form a unique fingerprint.

Cite this