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Abstract
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How to Cite this Article

International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 3, Pages 475-482
doi:10.1155/S0161171297000641

On the growth of the spectral measure

A. Boumenir

King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences, Dhahran 31262, Saudi Arabia

Received 26 May 1992; Revised 12 June 1996

Abstract

We are concerned with the asymptotics of the spectral measure associated with a self-adjoint operator. By using comparison techniques we shall show that the eigenfunctionals of L2 are close to the eigenfunctionals L1 if and only if dΓ1≈dΓ2 as λ→∞.