An Uncertainty Principle on Hyperbolic Space
Copyright policy )An Uncertainty Principle on Hyperbolic Space
In this paper, we establish an uncertainty principle on hyperbolic space H n = S O e ( n , 1 ) / S O ( n ) {H^n} = S{O_e}(n,1)/SO(n) , which prohibits f from being confined to small neighborhoods around any point in H n {H^n} under certain assumptions on the Fourier transform f ~ \tilde f , where f is a normalized L 2 {L^2} function on H n {H^n} .
Harmonic analysis on homogeneous spaces, hyperbolic space, Other transforms and operators of Fourier type, Fourier transform, Heisenberg uncertainty principle, variance
Harmonic analysis on homogeneous spaces, hyperbolic space, Other transforms and operators of Fourier type, Fourier transform, Heisenberg uncertainty principle, variance
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