A Fourier series (/ˈfʊrieɪ, -iər/) is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a...
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Luigi Bianchi. Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale (Pisa, T. Nistri, 1880) Lezioni di analisi infinitesimale...
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Dini criterion (category Fourier series)
|f(t)| ≤ g(t) whose Fourier series does not converge at 0. Dini, Ulisse (1880), Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile...
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Dini–Lipschitz criterion (category Fourier series)
respect to δ {\displaystyle \delta } . Dini, Ulisse (1872), Sopra la serie di Fourier, Pisa Golubov, B. I. (2001) [1994], "Dini-Lipschitz criterion", Encyclopedia...
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was an Italian mathematician known for her work on the summability of Fourier series, on Morera's theorem for analytic functions of several variables...
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Marcinkiewicz interpolation theorem (category Fourier analysis)
computed by first taking the Fourier transform of f, then multiplying by the sign function, and finally applying the inverse Fourier transform. Hence Parseval's...
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Leonida Tonelli (category Academic staff of the Scuola Normale Superiore di Pisa)
1090/s0002-9904-1925-04002-1. MR 1561014. Serie trigonometriche. Zanichelli, Bologna 1928 Calculus of variations Fourier series Lebesgue integral Mathematical...
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de l'URSS, Nouvelle Série. 20: 5–9. Gagliardo, Emilio (1958). "Proprietà di alcune classi di funzioni in più variabili". Ricerche di Matematica. 7: 102–137...
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della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Serie IX. Matematica e Applicazioni. 36: 34–70...
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Encyclopedia of Mathematics, EMS Press Jordan, Camille (1881), "Sur la série de Fourier", Comptes rendus hebdomadaires des séances de l'Académie des sciences...
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functions of bounded variation. Jordan, Camille (1881), "Sur la série de Fourier" [On Fourier's series], Comptes rendus hebdomadaires des séances de l'Académie...
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Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), LXXXII (3–4): 145–150, MR 0264472...
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una serie di voci che si prestano semanticamente e foneticamente Stamuli, Maria Francesca (2008). Morte di lingua e variazione lessicale nel greco di Calabria...
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using the standard definition of pointwise convergence. For example, a Fourier series of sine and cosine functions, all continuous, may converge pointwise...
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šnirel'man's constant". Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV. 22 (4): 645–706. Retrieved 13 March 2009. Ridley, Matt...
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partial differential equations". Annali della Scuola Normale Superiore di Pisa, Serie 3. 13: 115–162. MR 0109940. Lions, P.-L. (1984). "The concentration-compactness...
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G (1987). "Sur une question de V. A. Lebesgue". Annales de l'Institut Fourier. 37 (3): 19–37. doi:10.5802/aif.1096. Ribenboim, pp. 57–63. Lamé G (1839)...
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allowing energetic interaction between their own multiple internal discrete Fourier frequency components, on the occasions of emission or absorption of quanta...
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Parametrix (category Fourier analysis)
Rendiconti della Reale Accademia dei Lincei, Classe di Scienze Fisiche, Matematiche, Naturali, Serie V, 16 (12): 932–938, JFM 38.0403.01 (in Italian). Levi...
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function form a quasicrystal, a distribution with discrete support whose Fourier transform also has discrete support. Dyson (2009) suggested trying to prove...
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(1931). "An X-Ray Analysis of the Structure of Hexachlorobenzene, Using the Fourier Method". Proceedings of the Royal Society. 133A (822): 536–553. Bibcode:1931RSPSA...
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Gerolamo Cardano, while the A3 kernel corresponds to the use of the discrete Fourier transform of order 3 in the solution, in the form of Lagrange resolvents...
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Caffarelli, Luis (July 1998), "The obstacle problem revisited", The Journal of Fourier Analysis and Applications, 4 (4–5): 383–402, doi:10.1007/BF02498216, MR 1658612...
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Classe di Scienze Fisiche, Matematiche e Naturali, Serie VIII (in Italian), 70 (5): 233–240, Zbl 0504.01031. Fichera, Gaetano (1982d), "I contributi di Guido...
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Occurrences after 1750." Physis: Rivista Internazionale di Storia della Scienza XXXVII. Nuova Serie. Fasc. 2. 2000: 467–500. 2001. "Manifestations of Mathematics...
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Berlin, 2012, p. 81. Lauritzen, Niels (2013). Undergraduate Convexity: From Fourier and Motzkin to Kuhn and Tucker. World Scientific Publishing Company. p...
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possible satellite might be orbiting Varuna at a close distance. By using the Fourier analysis method of combining four separate light curves obtained in 2019...
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equation on the grid, which can be computed in O(n log n) time using fast Fourier transform or O(n) time using multigrid techniques. This can provide fast...
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standard textbooks on probability, complex analysis, harmonic analysis, Fourier analysis, and partial differential equations. Among other applications...
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Categorical Studies in Italy 2000, Rendiconti del Circolo Matematico di Palermo, Serie II, N. 64: 179–191. Ostrowski, A. M. (1950). "Note on Vincent's theorem"...
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