The Resource The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger
The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger
Resource Information
The item The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- 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 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 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. 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
- Language
- eng
- Extent
- xi, 241 pages
- Contents
-
- 1. Bergman spaces
- 2. The canonical solution operator to d-bar
- 3. Spectral properties of the canonical solution operator d-bar
- 4. The d-bar complex
- 5. Density of smooth forms
- 6. The weighted d-bar complex
- 7. The twisted d-bar complex
- 8. Applications
- 9. Spectral analysis
- 10. Schrödinger operators and Witten-Laplacians
- 11. Compactness
- 12. The d-bar Neumann operator and he Bergman projection
- 13. Compact resolvents
- 14. Spectrum of d'Alembert operator on the Fock space
- 15. Obstructions to compactness
- Isbn
- 9783110315301
- Label
- The D-bar Neumann problem and Schrödinger operators
- Title
- The D-bar Neumann problem and Schrödinger operators
- Statement of responsibility
- by Friedrich Haslinger
- Language
- eng
- Summary
- 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 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 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. 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
- Cataloging source
- DLC
- http://library.link/vocab/creatorName
- Haslinger, Friedrich
- Dewey number
- 515/.9
- Index
- index present
- LC call number
- QA377
- LC item number
- .H33 2014
- Literary form
- non fiction
- Nature of contents
- bibliography
- Series statement
- De Gruyter expositions in mathematics
- Series volume
- volume 59
- http://library.link/vocab/subjectName
-
- Neumann problem
- Schrödinger operator
- D'Alembertian operator
- Functional analysis
- Topology
- Neumann problem
- Schrödinger operator
- Label
- The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier.
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- 1. Bergman spaces -- 2. The canonical solution operator to d-bar -- 3. Spectral properties of the canonical solution operator d-bar -- 4. The d-bar complex -- 5. Density of smooth forms -- 6. The weighted d-bar complex -- 7. The twisted d-bar complex -- 8. Applications -- 9. Spectral analysis -- 10. Schrödinger operators and Witten-Laplacians -- 11. Compactness -- 12. The d-bar Neumann operator and he Bergman projection -- 13. Compact resolvents -- 14. Spectrum of d'Alembert operator on the Fock space -- 15. Obstructions to compactness
- Control code
- 879370835
- Dimensions
- 25 cm
- Extent
- xi, 241 pages
- Isbn
- 9783110315301
- Isbn Type
- (acid-free paper)
- Lccn
- 2014017466
- Media category
- unmediated
- Media MARC source
- rdamedia.
- Media type code
-
- n
- System control number
- (OCoLC)879370835
- Label
- The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger
- Bibliography note
- Includes bibliographical references and index
- Carrier category
- volume
- Carrier category code
-
- nc
- Carrier MARC source
- rdacarrier.
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- 1. Bergman spaces -- 2. The canonical solution operator to d-bar -- 3. Spectral properties of the canonical solution operator d-bar -- 4. The d-bar complex -- 5. Density of smooth forms -- 6. The weighted d-bar complex -- 7. The twisted d-bar complex -- 8. Applications -- 9. Spectral analysis -- 10. Schrödinger operators and Witten-Laplacians -- 11. Compactness -- 12. The d-bar Neumann operator and he Bergman projection -- 13. Compact resolvents -- 14. Spectrum of d'Alembert operator on the Fock space -- 15. Obstructions to compactness
- Control code
- 879370835
- Dimensions
- 25 cm
- Extent
- xi, 241 pages
- Isbn
- 9783110315301
- Isbn Type
- (acid-free paper)
- Lccn
- 2014017466
- Media category
- unmediated
- Media MARC source
- rdamedia.
- Media type code
-
- n
- System control number
- (OCoLC)879370835
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