The Analysis Group

The research activities of the analysis group lie mainly within the areas of

  • complex and harmonic analysis
  • operator algebra and functional analysis

 

Main research areas

 

  • Operator related function theory
  • Harmonic analysis
  • Dirichlet series
  • Several complex variables
  • Geometric function theory
  • Time-frequency analysis
  • Spaces of analytic and harmonic functions
  • Continued fractions and moment problems
  • Discrete models for differential equations
  • Problem of uniqueness and continuation for linear elliptic operators
  • Operator algebras: C*-algebras and von Neumann algebras with applications to
    • topological dynamics
    • crossed product algebras
    • quantum groups
    • ordered K-theory / dimension groups
  • Symbolic dynamics and C*-algebras associated to symbolic dynamic systems
  • Mathematical physics
    • Physical models over local fields
    • Finite approximations properties of physical models