Description

Book Synopsis

Preface.- 1. Introduction.- 2. Schwartz functions and tempered distributions.- 3. Symbols.- 4. Pseudodifferential operators.- 5. Pseudodifferential operators on manifolds.- 6. Microlocalization.- 7. Hyperbolic evolution equations and Egorov's theorem.- 8. Real principal type propagation of singularities.-  9. Solving wave-type equations.- 10. Propagation of singularities at radial sets.- 11. Late time asymptotics of linear waves on de Sitter space.- Bibliography.- Index.

An Introduction to Microlocal Analysis

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    A Hardback by Peter Hintz

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      View other formats and editions of An Introduction to Microlocal Analysis by Peter Hintz

      Publisher: Springer
      Publication Date: 7/8/2025
      ISBN13: 9783031907050, 978-3031907050
      ISBN10: 3031907051
      Also in:
      Mathematics Differential calculus and equations

      Description

      Book Synopsis

      Preface.- 1. Introduction.- 2. Schwartz functions and tempered distributions.- 3. Symbols.- 4. Pseudodifferential operators.- 5. Pseudodifferential operators on manifolds.- 6. Microlocalization.- 7. Hyperbolic evolution equations and Egorov's theorem.- 8. Real principal type propagation of singularities.-  9. Solving wave-type equations.- 10. Propagation of singularities at radial sets.- 11. Late time asymptotics of linear waves on de Sitter space.- Bibliography.- Index.

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