Results 1 to 10 of about 241,664 (267)
On Double Fourier Series [PDF]
Proceedings of the American Mathematical Society, 1950 Gen-ichirô Sunouchi
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Nature, 1898 I SHOULD like to add a few words concerning the subject of Prof. Michelson's letter in NATURE of October 6. In the only reply which I have seen (NATURE, October 13), the point of view of Prof. Michelson is hardly considered.
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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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Power series as Fourier series
Rocky Mountain Journal of Mathematics, 2022 Some spelling mistakes and minor typos corrected.
Chakrabarti, Debraj, Dawn, Anirban
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Fourier series (based) multiscale method for computational analysis in science and engineering: III. Fourier series multiscale method for linear differential equation with constant coefficients [PDF]
arXiv, 2022 Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. In the third paper, the analytical analysis of multiscale phenomena inherent in the 2r-th order linear differential equations with constant coefficients and subjected to general boundary conditions is
arxiv
Fourier series (based) multiscale method for computational analysis in science and engineering: IV. Fourier series multiscale solution for the convection-diffusion-reaction equation [PDF]
arXiv, 2022 Fourier series multiscale method, a concise and efficient analytical approach for multiscale computation, will be developed out of this series of papers. In the fourth paper, the application of the Fourier series multiscale method to the one- and two-dimensional convection-diffusion-reaction equations is implemented, where the Fourier series multiscale
arxiv
Fourier series of circle embeddings [PDF]
Comput. Methods Funct. Theory 19 (2019), no. 2, 323-340, 2018 We study the Fourier series of circle homeomorphisms and circle embeddings, with the emphasis on Blaschke product approximation and the vanishing of Fourier coefficients. The analytic properties of the Fourier series are related to the geometry of the circle embeddings, and have implications for the curvature of minimal surfaces.
arxiv +1 more source
An exponential estimate for the square partial sums of multiple Fourier series [PDF]
, 2018 We prove an exponential integral estimate for the quadratic partial sums of multiple Fourier series on large sets that implies some new properties of Fourier series.
arxiv +1 more source
Uniqueness sets for Fourier series [PDF]
arXiv, 2014 The paper discusses some uniqueness sets for Fourier series.
arxiv
On Fourier re-expansions [PDF]
arXiv, 2012 We study an extension to Fourier transforms of the old problem on absolute convergence of the re-expansion in the sine (cosine) Fourier series of an absolutely convergent cosine (sine) Fourier series. The results are obtained by revealing certain relations between the Fourier transforms and their Hilbert transforms.
arxiv