See Fourier series on Wiktionary
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"etymology_text": "Named after French mathematician and physicist Joseph Fourier (1768-1830), who pioneered research into such series and their application to problems of heat transfer and vibration.",
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"text": "1951 [Blackie & Son], R. C. H. Young (translator), Konrad Knopp, Theory and Application of Infinite Series, [1947, Konrad Knopp, Theorie und Anwendung der unendlichen Reihen, 4th Edition], 1990, Dover, Unabridged unaltered reprint of 2nd English Edition, page 493,\nAs we have seen (pp. 369—370), the question of the necessary and sufficient conditions under which the Fourier series of an integrable function converges and represents the given function is one which presents very great difficulties."
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"text": "2001, David Cruz-Uribe (translator), Javier Duoandikoetxea Zuazo, Fourier Analysis, [1995, Javier Duoandikoetxea Zuazo, Análisis de Fourier], American Mathematical Society, page 20,\nThere are excellent discussions of Fourier series and integrals in Katznelson [10] and Dym and McKean [4]. The book by R. E. Edwards [5] is an exhaustive study of Fourier series from a more modern perspective."
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"ref": "2006, K. F. Riley, M. P. Hobson, S. J. Bence, Mathematical Methods for Physics and Engineering: A Comprehensive Guide, 3rd edition, Cambridge University Press, page 415:",
"text": "Unlike Taylor series, a Fourier series can describe functions that are not everywhere continuous and/or differentiable.",
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"word": "Fourier’n sarja"
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"alt": "フーリエきゅうすう,fūrie kyūsū",
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"sense": "series of cosine and sine functions",
"word": "フーリエ級数"
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"roman": "Fure qatary",
"sense": "series of cosine and sine functions",
"word": "Фурье қатары"
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"code": "ko",
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"roman": "purie geupsu",
"sense": "series of cosine and sine functions",
"word": "푸리에 급수"
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"word": "series Fourieriana"
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"roman": "rjad Furʹjé",
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"sense": "series of cosine and sine functions",
"word": "Ֆուրիեի շարք"
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"roman": "Fùlìyè jíshù",
"sense": "series of cosine and sine functions",
"word": "傅立叶级数"
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"alt": "フーリエきゅうすう,fūrie kyūsū",
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