Yakun Xi

activity

20172019

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

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2018

Improved Generalized Periods Estimates Over Curves on Riemannian Surfaces with Nonpositive Curvature

Emmett L. Wyman, Yakun Xi

We show that on compact Riemann surfaces of nonpositive curvature, the generalized periods, i.e. the $ν$ -th order Fourier coefficients of eigenfunctions $e_{λ}$ over a closed smooth…

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…