V. Oussa

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20122026

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Showing 2018Show all

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math.RT2018

Compactly supported bounded frames on Lie groups

Vignon Oussa

Let $G = N H$ be a Lie group where $N, H$ are closed connected subgroups of $G,$ and $N$ is an exponential solvable Lie group which is normal in $G .$ Suppose furthermore that $N$ admit…

math.RT2018

HRT Conjecture and Linear Independence of Translates on the Heisenberg Group

Brad Currey, Vignon Oussa

We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture is equivalent to the conjecture that finite translates of square-integrable functions on the Heisenberg group are…

math.RT2018

Groups with frames of translates

Hartmut Fuhr, Vignon Oussa

Let $G$ be a locally compact group with left regular representation $λ_{G} .$ We say that $G$ admits a frame of translates if there exist a countable set $Γ \subset G$ and $φ\in L^{2…