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Distribution of Resonances in Scattering by Thin Barriers
 
Jeffrey Galkowski McGill University, Montreal, Canada
Distribution of Resonances in Scattering by Thin Barriers
Softcover ISBN:  978-1-4704-3572-1
Product Code:  MEMO/259/1248
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5251-3
Product Code:  MEMO/259/1248.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-3572-1
eBook: ISBN:  978-1-4704-5251-3
Product Code:  MEMO/259/1248.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
Distribution of Resonances in Scattering by Thin Barriers
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Distribution of Resonances in Scattering by Thin Barriers
Jeffrey Galkowski McGill University, Montreal, Canada
Softcover ISBN:  978-1-4704-3572-1
Product Code:  MEMO/259/1248
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5251-3
Product Code:  MEMO/259/1248.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-3572-1
eBook ISBN:  978-1-4704-5251-3
Product Code:  MEMO/259/1248.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2592019; 152 pp
    MSC: Primary 35; 31; Secondary 45; 47

    The author studies high energy resonances for the operators \[-\Delta_{\partial\Omega,\delta}:=-\Delta +\delta_{\partial\Omega}\otimes V\quad \textrm{and}\quad -\Delta_{\partial\Omega,\delta'}:=-\Delta+\delta_{\partial\Omega}'\otimes V\partial_\nu\] where \(\Omega\subset{\mathbb{R}}^{d}\) is strictly convex with smooth boundary, \(V:L^{2}(\partial\Omega)\to L^{2}(\partial\Omega)\) may depend on frequency, and \(\delta_{\partial\Omega}\) is the surface measure on \(\partial\Omega\).

  • Table of Contents
     
     
    • Chapters
    • Acknowledgements
    • 1. Introduction
    • 2. Preliminaries
    • 3. Meromorphic Continuation of the Resolvent
    • 4. Boundary Layer Operators
    • 5. Dynamical Resonance Free Regions
    • 6. Existence of Resonances for the Delta Potential
    • A. Model Cases
    • B. Semiclassical Intersecting Lagrangian Distributions
    • C. The Semiclassical Melrose–Taylor Parametrix
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2592019; 152 pp
MSC: Primary 35; 31; Secondary 45; 47

The author studies high energy resonances for the operators \[-\Delta_{\partial\Omega,\delta}:=-\Delta +\delta_{\partial\Omega}\otimes V\quad \textrm{and}\quad -\Delta_{\partial\Omega,\delta'}:=-\Delta+\delta_{\partial\Omega}'\otimes V\partial_\nu\] where \(\Omega\subset{\mathbb{R}}^{d}\) is strictly convex with smooth boundary, \(V:L^{2}(\partial\Omega)\to L^{2}(\partial\Omega)\) may depend on frequency, and \(\delta_{\partial\Omega}\) is the surface measure on \(\partial\Omega\).

  • Chapters
  • Acknowledgements
  • 1. Introduction
  • 2. Preliminaries
  • 3. Meromorphic Continuation of the Resolvent
  • 4. Boundary Layer Operators
  • 5. Dynamical Resonance Free Regions
  • 6. Existence of Resonances for the Delta Potential
  • A. Model Cases
  • B. Semiclassical Intersecting Lagrangian Distributions
  • C. The Semiclassical Melrose–Taylor Parametrix
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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