Equidistribution of Neumann data mass on triangles
DOI: 10.1090/PROC/13742
关键词: Eigenfunction 、 Norm (mathematics) 、 Dirichlet distribution 、 Von Neumann algebra 、 Neumann boundary condition 、 Simple (abstract algebra) 、 Mathematics 、 Combinatorics 、 Exact formula
摘要: In this paper we study the behaviour of Neumann data Dirichlet eigenfunctions on triangles. We prove that $L^2$ norm (semi-classical) each side is equal to length divided by area triangle. The novel feature result it {\it not} an asymptotic, but exact formula. proof simple integrations parts.
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