2017年9月23日
Spectral shift functions and Dirichlet-to-Neumann maps
Mathematische Annalen
- ,
- ,
- 巻
- 371
- 号
- 3-4
- 開始ページ
- 1
- 終了ページ
- 46
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00208-017-1593-4
- 出版者・発行元
- Springer New York LLC
The spectral shift function of a pair of self-adjoint operators is expressed via an abstract operator-valued Titchmarsh–Weyl m-function. This general result is applied to different self-adjoint realizations of second-order elliptic partial differential operators on smooth domains with compact boundaries and Schrödinger operators with compactly supported potentials. In these applications the spectral shift function is determined in an explicit form with the help of (energy parameter dependent) Dirichlet-to-Neumann maps.
- リンク情報
- ID情報
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- DOI : 10.1007/s00208-017-1593-4
- ISSN : 0025-5831
- SCOPUS ID : 85029768912
- Web of Science ID : WOS:000439931600010