arXiv subjects

Yoshihisa Miyanishi

Publications and source records attributed to Yoshihisa Miyanishi.

20 records · Page 2Linked to original sources

arXiv2015

Remarks on low-energy approximations for Feynman path integration on the sphere

We shall define the oscillatory integrals by action integrals, Van Vleck determinant and Dewitt curvature. Our method employs action integrals along the shortest paths. We have the strong but not uniform convergence of time slicing Feynman path integrals for low energy functions.

math-ph↗

arXiv2015

Eigenvalues and Eigenfunctions of Double Layer Potentials

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

math.SP↗