A New Method of Summation of Fourier Series Converging in C-Norm |
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Authors: | Pavel Sobolevskii |
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Affiliation: | (1) Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, 91904, Israel and Departamento de Matematica, Universidade Federal do Ceara, Fortaleza, 60455-760, Brazil |
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Abstract: | A new method is based on some properties of a semigroup of fractional powers of some positive operator in Banach space. This method uses an essentially smaller deformation of an ordinary partial sum of the Fourier series than in Cesaro's method or in its generalizations. |
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