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A Generalized Beurling Theorem for Some Lie Groups

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For any real numbers p,q ≥ 1, we present in this paper a ( p, q )-generalized version of Beurling’s uncertainty principle for ℝ n , which largely extends the… Click to show full abstract

For any real numbers p,q ≥ 1, we present in this paper a ( p, q )-generalized version of Beurling’s uncertainty principle for ℝ n , which largely extends the classical Beurling’s theorem. We then define its analog for compact extensions of ℝ n and also for Heisenberg groups.

Keywords: theorem lie; beurling theorem; theorem; lie groups; generalized beurling

Journal Title: Mathematical Notes
Year Published: 2020

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