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Conjugate series to Fourier's ones
Bathory, Michal ; Opic, Bohumír (advisor) ; Zelený, Miroslav (referee)
This thesis focuses entirely on conjugate series to Fourier's ones. It provides a quick and intuitive introduction to this topic for the reader who is familiar with classical Fourier's series. The thesis contains simple tests for the convergence of conjugate series and for the existence of related conjugate functions. These concepts are illustrated with examples. Extensive and comprehensive works of Antoni Zygmund are dedicated to the conjugate series (among other topics) but the corresponding proofs are far from detailed. Thus, this thesis summarizes the basic assertions systematically, gives proofs in detail and offers author's own solutions to selected examples. Powered by TCPDF (www.tcpdf.org)

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