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Content archived on 2022-12-23

Function spaces and harmonic analysis

Objective

To study new properties of function spaces (including the case of variable smoothness) of Sobolev, Nikol'skii-Besov and Lizorkin-Triebel type defined on subsets of Euclidean space (including the case of degenerate domains). To study the behaviour of hypoelliptic operators on these spaces. To investigate the properties of trigonometric series and polynomials in terms of their coefficients; the zero set of the Fourier Transform and translational tilings, translation invariant Banach spaces in harmonic analysis; domains which have an L2 basis of exponentials. To study global and local smoothness of wavelets with the use of spaces with variable smoothness.
Expected results: Solution of a number of actual problems on spaces of differentiable functions and extremal problems of harmonic analysis.

The results will be published as papers in mathematical journals and as preprints and will be presented at seminars and conferences.

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Programme(s)

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Topic(s)

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Call for proposal

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Funding Scheme

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Coordinator

Cardiff University
EU contribution
No data
Address
23, Senghennydd Road
CF24 4AG Cardiff
United Kingdom

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Total cost

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Participants (6)

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