Hearing pseudoconvexity with the Kohn Laplacian

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Abstract

A bounded domain in ℂn with connected Lipschitz boundary is pseudoconvex if the bottom of the essential spectrum of the Kohn Laplacian on the space of (0,q)-forms, 1 ≤ q ≤ n - 1, with L2-coefficients is positive.

Original languageEnglish (US)
Pages (from-to)475-485
Number of pages11
JournalMathematische Annalen
Volume331
Issue number2
DOIs
StatePublished - Feb 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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