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Forschungsgruppe "Funktionenräume"
Main research topics
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General theory of function spaces
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decompositions (atoms, quarks, wavelets)
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spaces of dominating mixed smoothness
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spaces of generalised smoothness
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anisotropic function spaces
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weighted function spaces
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spaces on domains and manifolds
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limiting embeddings, envelopes
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compactness of embeddings
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approximation quantities
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Local smoothness theory, Besov characteristics
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Spaces on fractals, spectral theory of fractal operators
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Nonlinear operators and boundary value problems
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Fourier analysis, approximation and signal theory
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