Advertisement

Complements: Symplectic Aspects

  • André Martinez
Part of the Universitext book series (UTX)

Abstract

For u = (u x , u ξ ) and υ = (υ x , υ ξ ) ∈ R 2n , we set
$$\sigma (u,\upsilon ) = {u_\xi } \cdot {u_x} - {u_x}{\upsilon _\xi } = \langle ((\begin{array}{*{20}{c}} 0&I \\ { - I}&0 \end{array})(\begin{array}{*{20}{c}} {{u_x}} \\ {{u_\xi }} \end{array})(\begin{array}{*{20}{c}} {{\upsilon _x}} \\ {\upsilon \xi } \end{array}))\rangle .$$

Keywords

Symplectic Form Pseudodifferential Operator Pseudo Differential Operator Canonical Transformation Principal Symbol 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • André Martinez
    • 1
  1. 1.Department of MathematicsUniversity of BolognaBolognaItaly

Personalised recommendations