Toeplitz Quantization and Asymptotic Expansions: Geometric Construction
For a real symmetric domain GR/KR, with complexification GC/KC, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the GR-invariant differential...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149182 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction / M. Englis, H. Upmeier // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 37 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862735612259336192 |
|---|---|
| author | Englis, M. Upmeier, H. |
| author_facet | Englis, M. Upmeier, H. |
| citation_txt | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction / M. Englis, H. Upmeier // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 37 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | For a real symmetric domain GR/KR, with complexification GC/KC, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the GR-invariant differential operators yielding its asymptotic expansion.
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| first_indexed | 2025-12-07T19:49:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149182 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:49:43Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Englis, M. Upmeier, H. 2019-02-19T18:19:49Z 2019-02-19T18:19:49Z 2009 Toeplitz Quantization and Asymptotic Expansions: Geometric Construction / M. Englis, H. Upmeier // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 37 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 32M15; 46E22; 47B35; 53D55 https://nasplib.isofts.kiev.ua/handle/123456789/149182 For a real symmetric domain GR/KR, with complexification GC/KC, we introduce the concept of ''star-restriction'' (a real analogue of the ''star-products'' for quantization of Kähler manifolds) and give a geometric construction of the GR-invariant differential operators yielding its asymptotic expansion. This paper is a contribution to the Special Issue on Deformation Quantization. Research supported by the German-Israeli Foundation (GIF), I-696-17.6/2001; the Academy of Sciences of the Czech Republic institutional research plan no. AV0Z10190503; and GA CR grant no. 201/06/0128. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Toeplitz Quantization and Asymptotic Expansions: Geometric Construction Article published earlier |
| spellingShingle | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction Englis, M. Upmeier, H. |
| title | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction |
| title_full | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction |
| title_fullStr | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction |
| title_full_unstemmed | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction |
| title_short | Toeplitz Quantization and Asymptotic Expansions: Geometric Construction |
| title_sort | toeplitz quantization and asymptotic expansions: geometric construction |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149182 |
| work_keys_str_mv | AT englism toeplitzquantizationandasymptoticexpansionsgeometricconstruction AT upmeierh toeplitzquantizationandasymptoticexpansionsgeometricconstruction |