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math.DG2014★ 18 cited
A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited
Pierre Bérard, Bernard Helffer
In this paper, we revisit the analyses of Antonie Stern (1925) and Hans Lewy (1977) devoted to the construction of spherical harmonics with two or three nodal domains. Our method y…
math.DG2012★ 1 cited
Remarks on J. Espinar's "Finite index operators on surfaces"
Pierre Bérard, Philippe Castillon
In this paper, we make some remarks on José Espinar's paper "Finite index operators on surfaces" [\texttt{arXiv:0911.3767}, to appear in Journal of Geometric Analysis (2011)].