Emily B. Dryden

Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds

We give upper bounds for the eigenvalues of the La-place-Beltrami operator of a compact

Huber's Theorem for Hyperbolic Orbisurfaces

m

Collars and partitions of hyperbolic cone-surfaces

-dimensional submanifold

Mapping properties of the heat operator on edge manifolds

M

Isospectrality and heat content

of

HEARING DELZANT POLYTOPES FROM THE EQUIVARIANT SPECTRUM

\R^{m+p}

Adjacent edge conditions for the totally nonnegative completion problem

. Besides the dimension and the volume of the submanifold and the order of the eigenvalue, these bounds depend on either the maximal number of intersection points of

Exit time moments and eigenvalue estimates

M

Asymptotic expansion of the heat kernel for orbifolds

with a

Extremal G -invariant eigenvalues of the Laplacian of G -invariant metrics

p