Enviar artigo por via de e-mail Asymptotics of Spectra of Compact Pseudodifferential Operators with Nonsmooth Symbols with Respect to Spatial Variables
- Autores: Karol’ A.I.1
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Afiliações:
- St. Petersburg State University
- Edição: Volume 226, Nº 4 (2017)
- Páginas: 355-374
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239989
- DOI: https://doi.org/10.1007/s10958-017-3539-5
- ID: 239989
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Resumo
We consider compact selfadjoint pseudodifferential operators with symbols that are not smooth with respect to x on a fixed set. We obtain conditions for the validity of the Weyl formula for the spectral asymptotics and apply the results to some class of pseudodifferential operators.
Sobre autores
A. Karol’
St. Petersburg State University
Autor responsável pela correspondência
Email: andrey.i.karol@gmail.com
Rússia, 28, Universitetskii pr., St. Petersburg, Petrodvorets, 198504
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