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Санкт-Петербургский семинар по теории операторов и теории функций
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[On finite configurations in the spectra of singular measures] R. Ayoush |
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Аннотация: During the talk I will discuss applications of elementarny additive combinatorics to dimensional estimates of PDE- and Fourier-constrained measures. My main tool will be a simple certainty principle of the following form: a set S contains a given finite linear pattern, provided that S is a spectrum of a sufficiently singular measure. This approach is inspired by results of Chang, Laba and Pramanik, concerning fractal analogs od Roth-Szemeredi theorem. Язык доклада: английский |
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