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Hardy's uncertainty principle on hyperbolic spaces

  • Nils Byrial Andersen (a1)

Abstract

Hardy's uncertainty principle states that it is impossible for a function and its Fourier transform to be simultaneously very rapidly decreasing. In this paper we prove versions of this principle for the Jacobi transform and for the Fourier transform on real hyperbolic spaces.

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References

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[1]Andersen, N.B., ‘Paley–Wiener theorems for hyperbolic spaces’, J. Funct. Anal. 179 (2001), 66119.
[2]Andersen, N.B., ‘Lp versions of Hardy's uncertainty principle on Hyperbolic Spaces’, (submitted).
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[12]Koornwinder, T.H., ‘Jacobi functions and analysis on noncompact semisimple Lie groups’, in Special functions: Group Theoretical Aspects and Applications (Reidel, Dordrecht, 1984), pp. 184.
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Hardy's uncertainty principle on hyperbolic spaces

  • Nils Byrial Andersen (a1)

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