The Sub-Laplacian operators of some model domains:
The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extens...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2022]
|
| Series: | Advances in analysis and geometry
volume 7 |
| Online Access: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 Volltext |
| Summary: | The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations. |
| Physical Description: | 1 Online-Ressource (XIV, 250 Seiten) Diagramme |
| ISBN: | 9783110642995 9783110643176 |
| DOI: | 10.1515/9783110642995 |
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| 520 | |a The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations. | ||
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Record in the Search Index
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| author | Chang, Der-Chen Tie, Jingzhi 1964- |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1515/9783110642995 |
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| id | DE-604.BV048392065 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:21:06Z |
| indexdate | 2025-03-31T10:01:48Z |
| institution | BVB |
| isbn | 9783110642995 9783110643176 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033770767 |
| oclc_num | 1339067603 |
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| owner_facet | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-739 DE-91 DE-BY-TUM DE-898 DE-BY-UBR DE-706 DE-11 |
| physical | 1 Online-Ressource (XIV, 250 Seiten) Diagramme |
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| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | De Gruyter |
| record_format | marc |
| series | Advances in analysis and geometry |
| series2 | Advances in analysis and geometry |
| spelling | Chang, Der-Chen Verfasser (DE-588)128990562 aut The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie Berlin ; Boston De Gruyter [2022] © 2022 1 Online-Ressource (XIV, 250 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier Advances in analysis and geometry volume 7 The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations. Tie, Jingzhi 1964- Verfasser (DE-588)173492231 aut Erscheint auch als Druck-Ausgabe 978-3-11-064210-0 (DE-604)BV048620360 Advances in analysis and geometry volume 7 (DE-604)BV045516582 7 https://doi.org/10.1515/9783110642995 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Chang, Der-Chen Tie, Jingzhi 1964- The Sub-Laplacian operators of some model domains Advances in analysis and geometry |
| title | The Sub-Laplacian operators of some model domains |
| title_auth | The Sub-Laplacian operators of some model domains |
| title_exact_search | The Sub-Laplacian operators of some model domains |
| title_exact_search_txtP | The Sub-Laplacian operators of some model domains |
| title_full | The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie |
| title_fullStr | The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie |
| title_full_unstemmed | The Sub-Laplacian operators of some model domains Der-Chen Chang and Jingzhi Tie |
| title_short | The Sub-Laplacian operators of some model domains |
| title_sort | the sub laplacian operators of some model domains |
| url | https://doi.org/10.1515/9783110642995 |
| volume_link | (DE-604)BV045516582 |
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