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Seminar on Complex Analysis (Gonchar Seminar)
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Spectral synthesis for exponential systems A. D. Baranov St. Petersburg State University, Department of Mathematics and Mechanics |
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Abstract: We consider the problem whether it is possible to recover an arbitrary function in 1. There exist complete and minimal systems of exponentials for which the spectral synthesis is not possible. 2. The spectral synthesis for exponential systems always holds up to a one-dimensional defect. We plan to discuss the idea of the proof of these results. The talk is based on a joint work with Yurii Belov and Alexander Borichev. |