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Session S13 - Harmonic Analysis, Fractal Geometry, and Applications

Friday, July 16, 11:35 ~ 12:05 UTC-3

Fourier frames for singular measures and pure type phenomena

Nir Lev

Bar-Ilan University, Israel   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Let $\mu$ be a positive, finite measure on $\mathbb{R}^d$. When is it possible to construct a system of exponential functions that constitutes a frame in the Hilbert space $L^2(\mu)$ ? In the talk, I will explain the notion of a frame, discuss what is known about the problem, and present some recent results.

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