An uncertainty principle on hyperbolic space
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- by Li Min Sun PDF
- Proc. Amer. Math. Soc. 121 (1994), 471-479 Request permission
Abstract:
In this paper, we establish an uncertainty principle on hyperbolic space ${H^n} = S{O_e}(n,1)/SO(n)$, which prohibits f from being confined to small neighborhoods around any point in ${H^n}$ under certain assumptions on the Fourier transform $\tilde f$, where f is a normalized ${L^2}$ function on ${H^n}$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 471-479
- MSC: Primary 43A85; Secondary 22E30, 42C10
- DOI: https://doi.org/10.1090/S0002-9939-1994-1186137-8
- MathSciNet review: 1186137