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math.DG2012
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
Mikhail Karpukhin, Gerasim Kokarev, Iosif Polterovich
We prove two explicit bounds for the multiplicities of Steklov eigenvalues on compact surfaces with boundary. One of the bounds depends only on the genus of a surface and the…
math.DG2012
Sub-Laplacian eigenvalue bounds on CR manifolds
Gerasim Kokarev
We prove upper bounds for sub-Laplacian eigenvalues independent of a pseudo-Hermitian structure on a CR manifold. These bounds are compatible with the Menikoff-Sjoestrand asymptoti…