Research Activity

  • Ergodic theory with emphasis on connections with number theory, functional equations,and complex function theory.
  • Banach spaces and Banach algebras, especially those consisting of continuous functions.
  • Infinite matrices as operators on classical sequence spaces.
  • Non-linear functional analysis with applications to differential equations.
  • Approximation theory, Fourier analysis, wavelets, and differential equations, with emphasis on applications in inverse problems and tomography.
  • Analysis and differential equations on groups and fractals.
  • Infinite-Dimensional Analysis