Exact log growth exponents of L^p norms (1 to infinity) for disk eigenfunctions are determined, along with sharp uniform upper and lower bounds, via stationary phase and Bessel integral estimates.
The spectral function of an elliptic operator
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
The harmonic ensemble achieves optimal Wasserstein equidistribution rates on homogeneous manifolds of dimension d≥3 and two-point homogeneous manifolds, with similar results for the spherical ensemble and GAF zeros.
The survey describes eigenvalue inequalities, spectral asymptotics, nodal domains, and new phenomena for the Dirichlet-to-Neumann map of the Helmholtz equation that do not appear in the Laplace case.
citing papers explorer
-
Equidistribution of points in the Harmonic ensemble for the Wasserstein distance
The harmonic ensemble achieves optimal Wasserstein equidistribution rates on homogeneous manifolds of dimension d≥3 and two-point homogeneous manifolds, with similar results for the spherical ensemble and GAF zeros.