On 0-th order pseudo-differential operators on the circle
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- by Zhongkai Tao;
- Proc. Amer. Math. Soc. 152 (2024), 3289-3297
- DOI: https://doi.org/10.1090/proc/15356
- Published electronically: June 18, 2024
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Abstract:
In this paper we consider 0-th order pseudodifferential operators on the circle. We show that inside any interval disjoint from the critical values of the principal symbol, the spectrum is absolutely continuous with possibly finitely many embedded eigenvalues. We also give an example of embedded eigenvalues.References
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Bibliographic Information
- Zhongkai Tao
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
- Email: tzk320581@berkeley.edu
- Received by editor(s): September 13, 2019
- Received by editor(s) in revised form: July 31, 2020, and August 21, 2020
- Published electronically: June 18, 2024
- Additional Notes: The research was supported in part by the National Science Foundation grant DMS-1500852.
- Communicated by: Tanya Christiansen
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 3289-3297
- MSC (2020): Primary 35P15; Secondary 35S05
- DOI: https://doi.org/10.1090/proc/15356
- MathSciNet review: 4767263