Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A. Stern's analysis of the nodal sets of some families of spherical
  harmonics revisited   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 yields sharp quantitative results and a better
understanding of the occurrence of bifurcations in the families of nodal
sets.This paper is a natural continuation of our critical reading of A. Stern's
results for Dirichlet eigenfunctions in the square, see arXiv:14026054.

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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn