Spectral Properties of Semi-classical Toeplitz Operators
© 2018, Springer Nature Switzerland AG. The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μℏ of a semi-classical Toeplitz operator, Qℏ, and an equivariant version of this result when Qℏ admits an n-torus as a symmetry group. In addition we discuss som...
| Main Authors: | , , |
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| Format: | Book |
| Language: | English |
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Springer International Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/137097 |
| _version_ | 1826209391179726848 |
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| author | Guillemin, V. Uribe, A. Wang, Z. |
| author_facet | Guillemin, V. Uribe, A. Wang, Z. |
| author_sort | Guillemin, V. |
| collection | MIT |
| description | © 2018, Springer Nature Switzerland AG. The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μℏ of a semi-classical Toeplitz operator, Qℏ, and an equivariant version of this result when Qℏ admits an n-torus as a symmetry group. In addition we discuss some inverse spectral consequences of these results. |
| first_indexed | 2024-09-23T14:21:47Z |
| format | Book |
| id | mit-1721.1/137097 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:21:47Z |
| publishDate | 2021 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1370972021-11-03T03:13:33Z Spectral Properties of Semi-classical Toeplitz Operators Guillemin, V. Uribe, A. Wang, Z. © 2018, Springer Nature Switzerland AG. The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μℏ of a semi-classical Toeplitz operator, Qℏ, and an equivariant version of this result when Qℏ admits an n-torus as a symmetry group. In addition we discuss some inverse spectral consequences of these results. 2021-11-02T14:34:21Z 2021-11-02T14:34:21Z 2018 2019-11-13T16:17:17Z Book http://purl.org/eprint/type/JournalArticle 0743-1643 2296-505X https://hdl.handle.net/1721.1/137097 Guillemin, V., Uribe, A. and Wang, Z. 2018. "Spectral Properties of Semi-classical Toeplitz Operators." en 10.1007/978-3-030-02191-7_7 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer International Publishing arXiv |
| spellingShingle | Guillemin, V. Uribe, A. Wang, Z. Spectral Properties of Semi-classical Toeplitz Operators |
| title | Spectral Properties of Semi-classical Toeplitz Operators |
| title_full | Spectral Properties of Semi-classical Toeplitz Operators |
| title_fullStr | Spectral Properties of Semi-classical Toeplitz Operators |
| title_full_unstemmed | Spectral Properties of Semi-classical Toeplitz Operators |
| title_short | Spectral Properties of Semi-classical Toeplitz Operators |
| title_sort | spectral properties of semi classical toeplitz operators |
| url | https://hdl.handle.net/1721.1/137097 |
| work_keys_str_mv | AT guilleminv spectralpropertiesofsemiclassicaltoeplitzoperators AT uribea spectralpropertiesofsemiclassicaltoeplitzoperators AT wangz spectralpropertiesofsemiclassicaltoeplitzoperators |