The d-bar Neumann Problem and Schrödinger Operators:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[2014]
|
| Schriftenreihe: | De Gruyter Expositions in Mathematics
59 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers Volltext |
| Beschreibung: | Description based upon print version of record Biographical note: Friedrich Haslinger,University of Vienna, Austria Main description: The topic of this bookis located at the intersection of complex analysis, operator theory and partial differential equations. First we investigate the canonical solution operator to d-bar restricted to Bergman spaces of holomorphic L2 functions in one and several complex variables. These operators are Hankel operators of special type. In the following we consider the general d-bar-complex and derive properties of the complex Laplacian on L2 spaces of bounded pseudoconvex domains and on weighted L2 spaces.The main part is devoted to compactness of the d-bar-Neumann operator. The last part will contain a detailed account of the application of the d-bar-methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians |
| Beschreibung: | 1 Online-Ressource (XI, 241 S.) |
| ISBN: | 9783110315356 9783110315363 9783110377835 |
| DOI: | 10.1515/9783110315356 |
Internformat
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| 500 | |a Main description: The topic of this bookis located at the intersection of complex analysis, operator theory and partial differential equations. First we investigate the canonical solution operator to d-bar restricted to Bergman spaces of holomorphic L2 functions in one and several complex variables. These operators are Hankel operators of special type. In the following we consider the general d-bar-complex and derive properties of the complex Laplacian on L2 spaces of bounded pseudoconvex domains and on weighted L2 spaces.The main part is devoted to compactness of the d-bar-Neumann operator. The last part will contain a detailed account of the application of the d-bar-methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Haslinger, Friedrich |
| author_GND | (DE-588)1053550928 |
| author_facet | Haslinger, Friedrich |
| author_role | aut |
| author_sort | Haslinger, Friedrich |
| author_variant | f h fh |
| building | Verbundindex |
| bvnumber | BV042349087 |
| classification_rvk | SK 620 SK 700 |
| collection | ZDB-23-EXM ZDB-23-DGG ZDB-23-GMA ZDB-23-GBA |
| ctrlnum | (OCoLC)890071094 (DE-599)BVBBV042349087 |
| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9783110315356 |
| format | Electronic eBook |
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| id | DE-604.BV042349087 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:19:09Z |
| institution | BVB |
| isbn | 9783110315356 9783110315363 9783110377835 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027785568 |
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| owner_facet | DE-83 DE-706 DE-703 DE-1043 DE-19 DE-BY-UBM |
| physical | 1 Online-Ressource (XI, 241 S.) |
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| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| record_format | marc |
| series | De Gruyter Expositions in Mathematics |
| series2 | de Gruyter expositions in mathematics |
| spelling | Haslinger, Friedrich (DE-588)1053550928 aut The d-bar Neumann Problem and Schrödinger Operators [2014] © 2014 1 Online-Ressource (XI, 241 S.) txt rdacontent c rdamedia cr rdacarrier de Gruyter expositions in mathematics 59 Description based upon print version of record Biographical note: Friedrich Haslinger,University of Vienna, Austria Main description: The topic of this bookis located at the intersection of complex analysis, operator theory and partial differential equations. First we investigate the canonical solution operator to d-bar restricted to Bergman spaces of holomorphic L2 functions in one and several complex variables. These operators are Hankel operators of special type. In the following we consider the general d-bar-complex and derive properties of the complex Laplacian on L2 spaces of bounded pseudoconvex domains and on weighted L2 spaces.The main part is devoted to compactness of the d-bar-Neumann operator. The last part will contain a detailed account of the application of the d-bar-methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians Neumann-Problem (DE-588)4171566-4 gnd rswk-swf Kompaktheit (DE-588)4456100-3 gnd rswk-swf Hankel-Operator (DE-588)4314042-7 gnd rswk-swf Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 gnd rswk-swf Hamilton-Operator (DE-588)4072278-8 gnd rswk-swf Electronic books Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 s Neumann-Problem (DE-588)4171566-4 s Hankel-Operator (DE-588)4314042-7 s Kompaktheit (DE-588)4456100-3 s Hamilton-Operator (DE-588)4072278-8 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-3-11-031530-1 De Gruyter Expositions in Mathematics 59 (DE-604)BV044998893 59 https://doi.org/10.1515/9783110315356 Verlag URL des Erstveröffentlichers Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110315356&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Haslinger, Friedrich The d-bar Neumann Problem and Schrödinger Operators De Gruyter Expositions in Mathematics Neumann-Problem (DE-588)4171566-4 gnd Kompaktheit (DE-588)4456100-3 gnd Hankel-Operator (DE-588)4314042-7 gnd Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| subject_GND | (DE-588)4171566-4 (DE-588)4456100-3 (DE-588)4314042-7 (DE-588)4147397-8 (DE-588)4072278-8 |
| title | The d-bar Neumann Problem and Schrödinger Operators |
| title_auth | The d-bar Neumann Problem and Schrödinger Operators |
| title_exact_search | The d-bar Neumann Problem and Schrödinger Operators |
| title_full | The d-bar Neumann Problem and Schrödinger Operators |
| title_fullStr | The d-bar Neumann Problem and Schrödinger Operators |
| title_full_unstemmed | The d-bar Neumann Problem and Schrödinger Operators |
| title_short | The d-bar Neumann Problem and Schrödinger Operators |
| title_sort | the d bar neumann problem and schrodinger operators |
| topic | Neumann-Problem (DE-588)4171566-4 gnd Kompaktheit (DE-588)4456100-3 gnd Hankel-Operator (DE-588)4314042-7 gnd Cauchy-Riemannsche Differentialgleichungen (DE-588)4147397-8 gnd Hamilton-Operator (DE-588)4072278-8 gnd |
| topic_facet | Neumann-Problem Kompaktheit Hankel-Operator Cauchy-Riemannsche Differentialgleichungen Hamilton-Operator |
| url | https://doi.org/10.1515/9783110315356 http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110315356&searchTitles=true |
| volume_link | (DE-604)BV044998893 |
| work_keys_str_mv | AT haslingerfriedrich thedbarneumannproblemandschrodingeroperators |