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

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.