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	Volume 1, Issue 2 Pg 97 - 187 (December 2009)
	Volume 1, Issue 1 Pg 1 - 96 (June 2009)

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International Journal of Functional Analysis, Operator Theory and Applications

Abstract:
Let

be a bounded domain in

with smooth boundary

In this paper, we investigate the spectral properties of a non-selfadjoint elliptic differential operator

acting on Hilbert space

with Dirichlet-type boundary conditions. Here

and there exists

such that

Assume that

where

Keywords and phrases: resolvent, asymptotic spectrum, distribution of eigenvalues, non- selfadjoint, m-sectorial operator, completeness, summability of the Fourier series.

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P-ISSN: 0975-2919

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