The d-bar Neumann Problem and Schrödinger Operators / / Friedrich Haslinger.
The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to restricted toBergman spaces of holomorphic d-bar functions in one and several complex variables.These operators...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2014] ©2014 |
| Year of Publication: | 2014 |
| Language: | English |
| Series: | De Gruyter Expositions in Mathematics ,
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| Physical Description: | 1 online resource (241 p.) |
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Haslinger, Friedrich, author. aut http://id.loc.gov/vocabulary/relators/aut The d-bar Neumann Problem and Schrödinger Operators / Friedrich Haslinger. Berlin ; Boston : De Gruyter, [2014] ©2014 1 online resource (241 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Expositions in Mathematics , 0938-6572 ; 59 Frontmatter -- Preface -- Contents -- 1. Bergman spaces -- 2. The canonical solution operator to ∂̄ -- 3. Spectral properties of the canonical solution operator to ∂̄ -- 4. The ∂̄-complex -- 5. Density of smooth forms -- 6. The weighted ∂̄-complex -- 7. The twisted ∂̄-complex -- 8. Applications -- 9. Spectral analysis -- 10. Schrödinger operators and Witten–Laplacians -- 11. Compactness -- 12. The ∂̄-Neumann operator and the Bergman projection -- 13. Compact resolvents -- 14. Spectrum of ◻ on the Fock space -- 15. Obstructions to compactness -- Bibliography -- Index -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The topic of this book is located at the intersection of complex analysis, operator theory and partial differential equations. It begins with results on the canonical solution operator to restricted toBergman spaces of holomorphic d-bar functions in one and several complex variables.These operators are Hankel operators of special type. In the following the general complex is investigated on d-bar spaces over bounded pseudoconvex domains and on weighted d-bar spaces. The main part is devoted to the spectral analysis of the complex Laplacian and to compactness of the Neumann operator.The last part contains a detailed account of the application of the methods to Schrödinger operators, Pauli and Dirac operators and to Witten-Laplacians. It is assumed that the reader has a basic knowledge of complex analysis, functional analysis and topology. With minimal prerequisites required, this book provides a systematic introduction to an active area of research for both students at a bachelor level and mathematicians. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Funktionentheorie. Neumannproblem. Schrödingeroperator. MATHEMATICS / General. bisacsh Compactness. Hankel Operator. Inhomogeneous Cauchy-Riemann Equation. Schrödinger Operator. Witten Laplacian. d-bar Neumann Problem. Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 9783110369526 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 9783110370355 ZDB-23-DEM EPUB 9783110377835 print 9783110315301 https://doi.org/10.1515/9783110315356 https://www.degruyter.com/isbn/9783110315356 Cover https://www.degruyter.com/document/cover/isbn/9783110315356/original |
| language |
English |
| format |
eBook |
| author |
Haslinger, Friedrich, Haslinger, Friedrich, |
| spellingShingle |
Haslinger, Friedrich, Haslinger, Friedrich, The d-bar Neumann Problem and Schrödinger Operators / De Gruyter Expositions in Mathematics , Frontmatter -- Preface -- Contents -- 1. Bergman spaces -- 2. The canonical solution operator to ∂̄ -- 3. Spectral properties of the canonical solution operator to ∂̄ -- 4. The ∂̄-complex -- 5. Density of smooth forms -- 6. The weighted ∂̄-complex -- 7. The twisted ∂̄-complex -- 8. Applications -- 9. Spectral analysis -- 10. Schrödinger operators and Witten–Laplacians -- 11. Compactness -- 12. The ∂̄-Neumann operator and the Bergman projection -- 13. Compact resolvents -- 14. Spectrum of ◻ on the Fock space -- 15. Obstructions to compactness -- Bibliography -- Index -- Backmatter |
| author_facet |
Haslinger, Friedrich, Haslinger, Friedrich, |
| author_variant |
f h fh f h fh |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Haslinger, Friedrich, |
| title |
The d-bar Neumann Problem and Schrödinger Operators / |
| title_full |
The d-bar Neumann Problem and Schrödinger Operators / Friedrich Haslinger. |
| title_fullStr |
The d-bar Neumann Problem and Schrödinger Operators / Friedrich Haslinger. |
| title_full_unstemmed |
The d-bar Neumann Problem and Schrödinger Operators / Friedrich Haslinger. |
| title_auth |
The d-bar Neumann Problem and Schrödinger Operators / |
| title_alt |
Frontmatter -- Preface -- Contents -- 1. Bergman spaces -- 2. The canonical solution operator to ∂̄ -- 3. Spectral properties of the canonical solution operator to ∂̄ -- 4. The ∂̄-complex -- 5. Density of smooth forms -- 6. The weighted ∂̄-complex -- 7. The twisted ∂̄-complex -- 8. Applications -- 9. Spectral analysis -- 10. Schrödinger operators and Witten–Laplacians -- 11. Compactness -- 12. The ∂̄-Neumann operator and the Bergman projection -- 13. Compact resolvents -- 14. Spectrum of ◻ on the Fock space -- 15. Obstructions to compactness -- Bibliography -- Index -- Backmatter |
| title_new |
The d-bar Neumann Problem and Schrödinger Operators / |
| title_sort |
the d-bar neumann problem and schrödinger operators / |
| series |
De Gruyter Expositions in Mathematics , |
| series2 |
De Gruyter Expositions in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2014 |
| physical |
1 online resource (241 p.) Issued also in print. |
| contents |
Frontmatter -- Preface -- Contents -- 1. Bergman spaces -- 2. The canonical solution operator to ∂̄ -- 3. Spectral properties of the canonical solution operator to ∂̄ -- 4. The ∂̄-complex -- 5. Density of smooth forms -- 6. The weighted ∂̄-complex -- 7. The twisted ∂̄-complex -- 8. Applications -- 9. Spectral analysis -- 10. Schrödinger operators and Witten–Laplacians -- 11. Compactness -- 12. The ∂̄-Neumann operator and the Bergman projection -- 13. Compact resolvents -- 14. Spectrum of ◻ on the Fock space -- 15. Obstructions to compactness -- Bibliography -- Index -- Backmatter |
| isbn |
9783110315356 9783110494969 9783110238570 9783110238471 9783110637205 9783110369526 9783110370355 9783110377835 9783110315301 |
| issn |
0938-6572 ; |
| url |
https://doi.org/10.1515/9783110315356 https://www.degruyter.com/isbn/9783110315356 https://www.degruyter.com/document/cover/isbn/9783110315356/original |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9783110315356 |
| oclc_num |
890071094 |
| work_keys_str_mv |
AT haslingerfriedrich thedbarneumannproblemandschrodingeroperators AT haslingerfriedrich dbarneumannproblemandschrodingeroperators |
| status_str |
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(DE-B1597)209206 (OCoLC)890071094 |
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Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 |
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The d-bar Neumann Problem and Schrödinger Operators / |
| container_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
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