S. Zelditch

activity

19992023

most citedUniversality and scaling of correlations between zeros on complex manifolds

211 citations · 1.3k across the 126 of their papers we have counts for

collaborators

Showing 2001Show all

3 papers · 1 filter

math.SP2001★ 4 cited

Inverse spectral problem for analytic plane domains II: $Z_{2}$ -symmetric domains

Steve Zelditch

This is part of a series of papers on the inverse spectral problem for bounded analytic plane domains. Here, we use the trace formula established in the first paper (`Balian-Bloch…

math.SP2001★ 43 cited

Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula

Steve Zelditch

We give a rigorous version of the classical Balian-Bloch trace formula, a semiclassical expansion around a periodic reflecting ray of the (regularized) resolvent of the Dirichlet L…

math.AP2001

Riemannian manifolds with maximal eigenfunction growth

Christopher D. Sogge, Steve Zelditch

On any compact Riemannian manifold $(M, g)$ of dimension $n$ , the $L^{2}$ -normalized eigenfunctions ${ϕ_{λ}}$ satisfy $∣∣ ϕ_{λ} ∣ ∣_{\infty} \leq C λ^{\frac{n - 1}{2}}$ where $-Δϕ_λ = λ^2 ϕ…

Inverse spectral problem for analytic plane domains II: Z2​-symmetric domains

Inverse spectral problem for analytic plane domains I: Balian-Bloch trace formula

Riemannian manifolds with maximal eigenfunction growth

Inverse spectral problem for analytic plane domains II: $Z_{2}$ -symmetric domains