Titlebook: European Congress of Mathematics; Barcelona, July 10–1 Carles Casacuberta,Rosa Maria Miró-Roig,Sebastià X Conference proceedings 2001 Sprin

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https://doi.org/10.1007/978-94-017-4931-2al questions about existence of good bases in function spaces. This circle of ideas in complex analysis has experienced in recent years a notorious revitalization, mostly because of its connections with analogous problems in time-frequency and wavelet analysis, some of which will be discussed as well.

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https://doi.org/10.1007/978-3-531-91678-13. The question, however, remains open for . ≥ 4. A connection with the Bernstein problem for minimal hypersurfaces suggests that the conjecture may be true at least if . ≤ 8. The results for . = 2 and 3 apply also to the equation Δ . = .‘(.) for every nonlinearity . ∈ ...

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Spectrum and Statistical Properties of Chaotic Dynamicsion (via the spectrum of a Ruelle-Perron-Frobenius transfer operator) with the analytic properties of a weighted dynamical zeta function, weighted dynamical Lefschetz function, or dynamical Ruelle-Fredholm determinant, built using the periodic orbit structure of the map.

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Sampling in Complex and Harmonic Analysisal questions about existence of good bases in function spaces. This circle of ideas in complex analysis has experienced in recent years a notorious revitalization, mostly because of its connections with analogous problems in time-frequency and wavelet analysis, some of which will be discussed as well.