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

collaborators

Showing 2017Show all

3 papers · 1 filter

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…

math.CA2017★ 4 cited

On Instability of the Nikodym Maximal Function bounds over Riemannian Manifolds

Christopher D. Sogge, Yakun Xi, Hang Xu

We show that, for odd $d$ , the $L^{\frac{d + 2}{2}}$ bounds of Sogge and Xi for the Nikodym maximal function over manifolds of constant sectional curvature, are unstable with respect t…