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Startseite FSU

Forschungsschwerpunkte


  •  General theory of function spaces

               - decompositions (atoms, quarks, wavelets)
               - spaces of dominating mixes smoothness
               - spaces of generalised smoothness
               - anisotropic function spaces
               - weighted function spaces
               - spaces on domains and manifolds
               - limiting embeddings, envelopes
               - compactness of embeddings
               - approximation quantities

  • Local smoothness theory, Besov characteristics
  •  Spaces on fractals, spectral theory of fractal operators
  •  Nonlinear operators and boundary value problems
  • Fourier analysis, approximation and signal theory