Spectral Shift Function for Trapping Energies¶in the Semiclassical Limit |
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| Authors: | Shu Nakamura |
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| Institution: | Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku,?Tokyo 153-8914, Japan. E-mail: shu@ms.u-tokyo.ac.jp, JP
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| Abstract: | Semiclassical asymptotics of the spectral shift function (SSF) for Schr?dinger operator is studied at trapping energies. It
is shown that the SSF converges to sum of a smooth function and a step function, which is essentially the counting function
of resonances. In particular, the Weyl asymptotics is proved.
Received: 14 December 1998 / Accepted: 1 June 1999 |
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