On the growth of the spectral measure
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→∞.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000641 |