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In particular, there exist non-constant little Bloch inner functions in the complex ball.
These eigenfunctions occurred in the weighted Plancherel formula of the unit complex ball.
Sci.315(1992), 1353 1357, for the Bergman LaplacianΔ00of the unit complex ball to the LaplaciansΔαβ, for arbitraryα,βinR.
We prove that the transformation introducing such coordinates maps analytically a complex ball of radius R/Nα (in discrete Sobolev-analytic norms) into a ball of radius R′/Nα (with R,R′>0 independent of N) if and only if α≥2.
However, data are inconsistent because a decrease in IHI was not associated with interlimb transfer of a finger-tapping sequence (Camus et al. 2009) and IHI did not change after a complex ball rotation task (Nojima et al. 2012).
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Most seem to prefer to indulge in marginally useful taxpayer-subsidized prestige projects like convention centers, arts complexes, ball parks and arenas.
But a start-up called Orbotix had an idea for a remote-controlled toy that was simultaneously far simpler and more complex: a ball.
Scheduled to go on sale in the summer for about $80, the Terrainiac is a futuristic-looking vehicle powered by a single rear wheel that is a complex treaded ball, referred to by its makers as a "sphere drive".
As dusk fell, scores of children and parents pushing babies in strollers went to the police lines near the complex's ball field to glimpse the ruins of 1 Philly Court about 300 yards away.
The complex Hilbert ball with a hyperbolic metric is a C A T ( 0 ) space (see [6]).
The complex Hilbert ball with a hyperbolic metric is a CAT ( 0 ) space (see [1]).
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