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Some footprints of Marcinkiewicz in summability theory

Volume 95 / 2011

Ferenc Weisz Banach Center Publications 95 (2011), 399-413 MSC: Primary 42B08, 42A24, Secondary 42B30, 42C10, 40F05, 41A15. DOI: 10.4064/bc95-0-25

Abstract

Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh– and Ciesielski–Fourier series.

Authors

  • Ferenc WeiszDepartment of Numerical Analysis
    Eötvös L. University
    H-1117 Budapest
    Pázmány P. sétány 1/C
    Hungary
    e-mail

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