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Abstract
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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

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→∞.