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Dini criterion
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mathematics, Dini's criterion is a condition for the pointwise convergence of Fourier series, introduced by Ulisse Dini (1880). Dini's criterion states thatBochner–Riesz mean (857 words) [view diff] exact match in snippet view article find links to article
summability method often used in harmonic analysis when considering convergence of Fourier series and Fourier integrals. It was introduced by Salomon BochnerUniform boundedness principle (4,519 words) [view diff] no match in snippet view article find links to article
In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with theWinifred Sargent (1,793 words) [view diff] exact match in snippet view article find links to article
first publication was in 1929, On Young's criteria for the convergence of Fourier series and their conjugates, published in the Mathematical ProceedingsUlisse Dini (887 words) [view diff] exact match in snippet view article find links to article
wrote about sixty papers. He proved the Dini criterion for the convergence of Fourier series and investigated the potential theory and differential geometryWiener–Lévy theorem (620 words) [view diff] exact match in snippet view article find links to article
Theorem about convergence of Fourier seriesChrist–Kiselev maximal inequality (628 words) [view diff] exact match in snippet view article find links to article
maximal inequality has applications to the Fourier transform and convergence of Fourier series, as well as to the study of Schrödinger operators. M. ChristStefan Banach (2,699 words) [view diff] case mismatch in snippet view article find links to article
the two soon published their first joint work (On the Mean Convergence of Fourier Series). Steinhaus, Banach and Nikodym, along with several other KrakówBounded variation (8,506 words) [view diff] exact match in snippet view article find links to article
Camille Jordan, in the paper (Jordan 1881) dealing with the convergence of Fourier series. The first successful step in the generalization of this conceptTrapezoidal rule (3,440 words) [view diff] exact match in snippet view article find links to article
rule in higher dimensions is to reduce the problem to that of convergence of Fourier series. This line of reasoning shows that if f {\displaystyle f} isUniform convergence (5,343 words) [view diff] exact match in snippet view article find links to article
convergence", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Graphic examples of uniform convergence of Fourier series from the University of ColoradoList of important publications in mathematics (10,409 words) [view diff] exact match in snippet view article find links to article
the subject". This paper gave the first rigorous proof of the convergence of Fourier series under fairly general conditions (piecewise continuity and monotonicity)Meanings of minor planet names: 11001–12000 (445 words) [view diff] exact match in snippet view article find links to article
applied mathematics and gave the first rigorous proof of the convergence of Fourier series. JPL · 11665 11666 Bracker 1997 MD8 Steve Bracker (born 1942)Singular integral operators of convolution type (12,876 words) [view diff] case mismatch in snippet view article find links to article
vol. 10, Van Nostrand Arias de Reyna, Juan (2002), Pointwise Convergence of Fourier Series, Lecture Notes in Mathematics, vol. 1785, Springer, ISBN 3540432701