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Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero S. V. Khrushchev Satbayev University |
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Abstract: Given a closed subset $$ S_n(f,\zeta)=\sum_{k=-n}^n\hat{f}(k)\zeta^k\underset{\mathbb{T}}{\rightrightarrows} f(\zeta), $$ such that for every continuous function $$ S^+_n(f,\zeta)=\sum_{k=0}^n\hat{f}(k)\zeta^k $$ of $$ \hat{f}(k)=\int_{\mathbb{T}}\bar{\zeta}^kf(\zeta)\, dm(\zeta), $$ and Language: English Website: https://us02web.zoom.us/j/8618528524?pwd=MmxGeHRWZHZnS0NLQi9jTTFTTzFrQT09 * Zoom conference ID: 861 852 8524 , password: caopa |