Yakun Xi

activity

20152024

most citedImproved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature

12 citations · 63 across the 20 of their papers we have counts for

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Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017★ 6 cited

Improved Generalized Periods estimates on Riemannian Surfaces with Nonpositive Curvature

Yakun Xi

We show that on compact Riemann surfaces of negative curvature, the generalized periods, i.e. the $ν$ -th order Fourier coefficient of eigenfunctions $e_{λ}$ over a period geodesic $γ…

math.AP2017★ 2 cited

Inner product of eigenfunctions over curves and generalized periods for compact Riemannian surfaces

Yakun Xi

We show that for a smooth closed curve $γ$ on a compact Riemannian surface without boundary, the inner product of two eigenfunctions $e_{λ}$ and $e_{μ}$ restricted to $γ$ , $|\int e_λ\o…