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math.SP2010★ 2 cited
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
M. van den Berg, P. Gilkey, K. Kirsten +1
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initia…
math.SP2005
Exotic expansions and pathological properties of -functions on conic manifolds
Klaus Kirsten, Paul Loya, Jinsung Park
We give a complete classification and present new exotic phenomena of the meromorphic structure of -functions associated to general self-adjoint extensions of Laplace-type opera…