A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited
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Publication:530563
DOI10.1007/s00605-015-0788-6zbMath1351.33014arXiv1407.5564OpenAlexW3104710463MaRDI QIDQ530563
Bernard Helffer, Pierre H. Bérard
Publication date: 1 August 2016
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5564
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spherical harmonics (33C55)
Related Items (3)
Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses ⋮ Some symmetry properties of gyre flows ⋮ Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in ℝ²
Cites Work
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- Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses
- Pleijel’s nodal domain theorem for free membranes
- On the number of nodal domains of random spherical harmonics
- On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
- On Spectral Minimal Partitions: the Case of the Sphere
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