Results 31 to 40 of about 4,663,060 (356)
Fourier Series for Singular Measures [PDF]
Axioms, 2015 Using the Kaczmarz algorithm, we prove that for any singular Borel probability measure $\mu$ on $[0,1)$, every $f\in L^2(\mu)$ possesses a Fourier series of the form $f(x)=\sum_{n=0}^{\infty}c_ne^{2\pi inx}$.
John E. Herr, E. Weber
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Nature, 1899 PERMIT me to make a few remarks on the notes of Prof. Willard Gibbs and Mr. Love in NATURE of December 29, 1898.
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Pythagorean harmonic summability of Fourier series
Demonstratio Mathematica, 2021 This paper explores the possibility for summing Fourier series nonlinearly via the Pythagorean harmonic mean. It reports on new results for this summability with the introduction of new concepts like the smoothing operator and semi-harmonic summation ...
Haidar Nassar H. S.
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Generalization of the Hardy-Littlewood theorem on Fourier series
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In the theory of one-dimensional trigonometric series, the Hardy-Littlewood theorem on Fourier series with monotone Fourier coefficients is of great importance.
S. Bitimkhan
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MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko +2 more
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Rapidly Converging Series for ζ(2n+1) from Fourier Series
Abstract and Applied Analysis, 2014 Ever since Euler first evaluated ζ(2) and ζ(2m), numerous interesting solutions of the problem of evaluating the ζ(2m) (m∈ℕ) have appeared in the mathematical literature.
Junesang Choi
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Fast Algorithms for the computation of Fourier Extensions of arbitrary length [PDF]
, 2015 Fourier series of smooth, non-periodic functions on $[-1,1]$ are known to exhibit the Gibbs phenomenon, and exhibit overall slow convergence. One way of overcoming these problems is by using a Fourier series on a larger domain, say $[-T,T]$ with $T>1$, a
Daan Huybrechs +3 more
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The Wasserstein-Fourier Distance for Stationary Time Series [PDF]
IEEE Transactions on Signal Processing, 2019 We propose the Wasserstein-Fourier (WF) distance to measure the (dis)similarity between time series by quantifying the displacement of their energy across frequencies.
Elsa Cazelles +2 more
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Local properties of Fourier series
International Journal of Mathematics and Mathematical Sciences, 2000 A theorem on local property of |N¯,pn|k summability of factored Fourier series, which generalizes some known results, and also a general theorem concerning the |N¯,pn|k summability factors of Fourier series have been proved.
Hüseyin Bor
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On the order of summability of the Fourier inversion formula [PDF]
, 2010 In this article we show that the order of the point value, in the sense of Łojasiewicz, of a tempered distribution and the order of summability of the pointwise Fourier inversion formula are closely related.
A. Denjoy +44 more
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