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Kasso Okoudjou, Tufts University, On the HRT Conjecture

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November 2 | 3:00 pm - 4:00 pm EST

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Given a non-zero square-integrable function $g$ and $\Lambda=\{(a_k, b_k)\}_{k=1}^N \subset \mathbb{R}^2$ let $\mathcal{G}(g, \Lambda)=\{e^{2\pi i b_k \cdot}g(\cdot – a_k)\}_{k=1}^N.$ The Heil-Ramanathan-Topiwala (HRT) Conjecture is the question of whether $\mathcal{G}(g, \Lambda)$ is linearly independent. For the last two decades, very little progress has been made in settling the conjecture. In the first part of the talk, I will give an overview of the state of the conjecture focusing especially on the case $N\leq 4$. I will then describe some recent attempts in settling the conjecture for some special classes of functions and special sets $\Lambda$.
Host: Paata Ivanisvili  pivanis@ncsu.edu



November 2

3:00 pm - 4:00 pm
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