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Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 4, Pages 439–450 (Mi jsfu276)  
On spectral projection for the complex Neumann problem

Ammar Alsaedy, Nikolai Tarkhanov

Institute of Mathematics, University of Potsdam, Potsdam, Germany
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Abstract: We show that the $L^2$-spectral kernel function of the $\bar\partial$-Neumann problem on a non-compact strongly pseudoconvex manifold is smooth up to the boundary.
Keywords: $\bar\partial$-Neumann problem, strongly pseudoconvex domains, spectral kernel function.
Received: 08.04.2012
Received in revised form: 20.06.2012
Accepted: 20.07.2012
Document Type: Article
UDC: 517.55
Language: English
Citation: Ammar Alsaedy, Nikolai Tarkhanov, “On spectral projection for the complex Neumann problem”, J. Sib. Fed. Univ. Math. Phys., 5:4 (2012), 439–450
Citation in format AMSBIB
\Bibitem{AlsTar12}
\by Ammar~Alsaedy, Nikolai~Tarkhanov
\paper On spectral projection for the complex Neumann problem
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 4
\pages 439--450
\mathnet{http://mi.mathnet.ru/jsfu276}
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