On Delusive Nodes of Free Oscillations
classification
🧮 math-ph
math.MP
keywords
analysisareaarisingarnoldassertionsbetterbroughtconjecture
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Two theorems and one conjecture about nodal sets of eigenfunctions arising in various spectral problems for the Laplacian are reviewed. It occurred that all these assertions are incorrect or only partly correct, but their analysis has brought better understanding of the corresponding area of mathematical physics. The contribution made by V. I. Arnold is emphasized.
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