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Spectral Theory and Geometric Analysis.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2011Copyright date: ©2011Edition: 1st edDescription: 1 online resource (223 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821882146
Subject(s): Genre/Form: Additional physical formats: Print version:: Spectral Theory and Geometric AnalysisDDC classification:
  • 515/.353
LOC classification:
  • QC20.7.S64 -- S644 2011eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Resolution of Smooth Group Actions -- Geometric Methods in the Analysis of Non-linear Flows in Porous Media -- Artificial Black Holes -- Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator: The Case of Discrete Wells -- Sobolev Mapping Properties of the Scattering Transform for the Schrödinger Equation -- Local Spectral Asymptotics for 2D-Schrödinger Operators with Strong Magnetic Field near the Boundary -- On Normalized Diffrerentials on Families of Curves of Infinite Genus -- Characteristic Classes and Zeroth Order Pseudodifferential Operators -- Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry -- 1. Introduction -- 2. The Maslov dequantization -- 3. Semirings and semifields -- 4. Idempotent analysis -- 5. The superposition principle and linear problems -- 6. Convolution and the Fourier-Legendre transform -- 7. Idempotent functional analysis -- 8. The dequantization transform, convex geometry and the Newton polytopes -- 9. Dequantization of set functions and measures on metric spaces -- 10. Dequantization of geometry -- References -- A Transversal Fredholm Property for the ∂-Neumann Problem on G-bundles -- Abrikosov Lattice Solutions of the Ginzburg-Landau Equations.
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Intro -- Contents -- Preface -- Resolution of Smooth Group Actions -- Geometric Methods in the Analysis of Non-linear Flows in Porous Media -- Artificial Black Holes -- Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator: The Case of Discrete Wells -- Sobolev Mapping Properties of the Scattering Transform for the Schrödinger Equation -- Local Spectral Asymptotics for 2D-Schrödinger Operators with Strong Magnetic Field near the Boundary -- On Normalized Diffrerentials on Families of Curves of Infinite Genus -- Characteristic Classes and Zeroth Order Pseudodifferential Operators -- Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry -- 1. Introduction -- 2. The Maslov dequantization -- 3. Semirings and semifields -- 4. Idempotent analysis -- 5. The superposition principle and linear problems -- 6. Convolution and the Fourier-Legendre transform -- 7. Idempotent functional analysis -- 8. The dequantization transform, convex geometry and the Newton polytopes -- 9. Dequantization of set functions and measures on metric spaces -- 10. Dequantization of geometry -- References -- A Transversal Fredholm Property for the ∂-Neumann Problem on G-bundles -- Abrikosov Lattice Solutions of the Ginzburg-Landau Equations.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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