Geometry, Algebra and their applications | Superoscillations via the Segal–Bargmann and Short-Time Fourier transforms

April 16, 2025 5 p.m. CEST Zoom online

Kamal Diki Ghent University, Belgium

Superoscillations via the Segal–Bargmann and Short-Time Fourier transforms

Keywords

Bargmann-Fock space
Short-Time Fourier transform
superoscillation

Abstract In this talk, I will present recent results relating the Bargmann-Fock space and the Short-Time Fourier Transform (STFT) with the theory of superoscillations. These computations lead to new connections with various aspects of time-frequency analysis, such as Gabor spaces, Gabor kernels, Weyl operators, and Itô-complex Hermite polynomials.