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searching for Convergence of Fourier series 14 found (32 total)

alternate case: convergence of Fourier series

Dini criterion (144 words) [view diff] exact match in snippet view article find links to article

mathematics, Dini's criterion is a condition for the pointwise convergence of Fourier series, introduced by Ulisse Dini (1880). Dini's criterion states that

Bochner–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 Bochner

Uniform 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 the

Winifred 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 Proceedings

Wiener–Lévy theorem (620 words) [view diff] exact match in snippet view article find links to article

Theorem about convergence of Fourier series

Christ–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. Christ

Ulisse Dini (882 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 geometry

Stefan 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 Kraków

Trapezoidal rule (3,437 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} is

Bounded variation (8,382 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 concept

Uniform convergence (5,073 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 Colorado

List of important publications in mathematics (10,118 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