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The Resource The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger

The D-bar Neumann problem and Schrödinger operators, by Friedrich Haslinger

Label
The D-bar Neumann problem and Schrödinger operators
Title
The D-bar Neumann problem and Schrödinger operators
Statement of responsibility
by Friedrich Haslinger
Creator
Author
Subject
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
Member of
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
Instantiates
Publication
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
Publication
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

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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