On the number of nodal domains of spherical harmonics

It is well known that the n-th eigenfunction to one-dimensional Sturm-Liouville eigenvalue problems has exactly n-1 nodes, i.e. non-degenerate zeros. For higher dimensions, it is much more complicated to obtain general statements on the zeros of eigenfunctions. The author states a new conjecture on...

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Bibliographic Details
Main Author: Leydold, Josef
Format: Others
Language:en
Published: Institut für Statistik und Mathematik, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business 1993
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Online Access:http://epub.wu.ac.at/1050/1/document.pdf