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20132024
most citedWeyl's law for the eigenvalues of the Neumann--Poincaré operators in three dimensions: Willmore energy and surface geometry

17 citations · 70 across the 20 of their papers we have counts for

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Showing 2015Show all

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math-ph2015

Notes on Feynman path integral-like methods of quantization on Riemannian manifolds

Yoshihisa Miyanishi

We propose an alternative method for Feynman path integrals on compact Riemannian manifolds. Our method employs action integrals along the shortest paths. In the case of rank 1 loc…

math.SP2015★ 9 cited

Eigenvalues and Eigenfunctions of Double Layer Potentials

Yoshihisa Miyanishi, Takashi Suzuki

For bounded domains, eigenvalues and eigenfunctions of double layer potentials are considered. The aim of this paper is to establish some relationships between eigenvalues, eigenfu…