Softcover ISBN: | 978-3-98547-049-5 |
Product Code: | EMSMEM/4 |
List Price: | $75.00 |
AMS Member Price: | $60.00 |
Softcover ISBN: | 978-3-98547-049-5 |
Product Code: | EMSMEM/4 |
List Price: | $75.00 |
AMS Member Price: | $60.00 |
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Book DetailsMemoirs of the European Mathematical SocietyVolume: 4; 2023; 221 ppMSC: Primary 35; 81; Secondary 47
The author's primary motivation for writing this book was to express the Witten index of a certain class of non-Fredholm operators, generated from multi-dimensional, massless Dirac operators, in terms of appropriate underlying spectral shift functions. This goal required a detailed control over continuity properties (more precisely, the existence of Lebesgue points) for the spectral shift functions involved, and hence the bulk of this book is devoted to an exhaustive investigation of the spectral properties of multi-dimensional, massless Dirac operators.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
ReadershipResearchers interested in operator and spectral theory, partial differential equations, and mathematical physics.
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The author's primary motivation for writing this book was to express the Witten index of a certain class of non-Fredholm operators, generated from multi-dimensional, massless Dirac operators, in terms of appropriate underlying spectral shift functions. This goal required a detailed control over continuity properties (more precisely, the existence of Lebesgue points) for the spectral shift functions involved, and hence the bulk of this book is devoted to an exhaustive investigation of the spectral properties of multi-dimensional, massless Dirac operators.
A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.
Researchers interested in operator and spectral theory, partial differential equations, and mathematical physics.