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Spectrum of the d-bar-Neumann Laplacian on polydiscs

Complex Variables 2007-05-23 v1 Spectral Theory

Abstract

The spectrum of the d-bar-Neumann Laplacian on a polydisc in several complex variables is explicitly computed. The calculation exhibits that the spectrum consists of eigenvalues, some of which, in particular the smallest ones, are of infinite multiplicity.

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Cite

@article{arxiv.math/0509116,
  title  = {Spectrum of the d-bar-Neumann Laplacian on polydiscs},
  author = {Siqi Fu},
  journal= {arXiv preprint arXiv:math/0509116},
  year   = {2007}
}

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6 pages