Bounding the number of nodal domains of eigenfunctions without singular\n points on the square

2017/12/26 by Junehyuk Jung, Jung, Junehyuk
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1712.09457

openalex publication_date 2017/12/26 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We prove Polterovich's conjecture concerning the growth of the number of\nnodal domains for eigenfunctions on a unit square domain, under the assumption\nthat the eigenfunctions do not have any singular points.\n

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