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The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators
 
Alan Carey Australian National University and University of Wollongong, Australia
Fritz Gesztesy Baylor University, Waco, TX
Galina Levitina Australian National University, Acton, Australia
Roger Nichols The University of Tennessee at Chattanooga, TN
Fedor Sukochev University of New South Wales Sydney, Australia
Dmitriy Zanin University of New South Wales Sydney, Australia
A publication of European Mathematical Society
Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations
Softcover ISBN:  978-3-98547-049-5
Product Code:  EMSMEM/4
List Price: $75.00
AMS Member Price: $60.00
Please note AMS points can not be used for this product
Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations
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The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators
Alan Carey Australian National University and University of Wollongong, Australia
Fritz Gesztesy Baylor University, Waco, TX
Galina Levitina Australian National University, Acton, Australia
Roger Nichols The University of Tennessee at Chattanooga, TN
Fedor Sukochev University of New South Wales Sydney, Australia
Dmitriy Zanin University of New South Wales Sydney, Australia
A publication of European Mathematical Society
Softcover ISBN:  978-3-98547-049-5
Product Code:  EMSMEM/4
List Price: $75.00
AMS Member Price: $60.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Memoirs of the European Mathematical Society
    Volume: 42023; 221 pp
    MSC: 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.

    Readership

    Researchers interested in operator and spectral theory, partial differential equations, and mathematical physics.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 42023; 221 pp
MSC: 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.

Readership

Researchers interested in operator and spectral theory, partial differential equations, and mathematical physics.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.