Results 11 to 20 of about 1,311,043 (300)
Fourier coefficients and growth of harmonic functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its ...
A. fryant, H. Shankar
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Quadrature formulas for Fourier coefficients [PDF]
Journal of Computational and Applied Mathematics, 2009 \textit{C. A. Micchelli} and \textit{T. J. Rivlin} [IBM J. Res. Develop. 16, 372--379 (1972; Zbl 0288.65013)] discovered the remarkable fact that the quadrature \[ \int^1_{-1}T_n(t)f(t)\frac{dt}{\sqrt{1-t^2}}\approx \frac{\pi}{n2^n}f'[\xi_1, \dots,\xi_n] \] is exact for all algebraic polynomials of degree \(\leq 3n-1\), where \[ T_n(t):=\cos(n\text{arc}
Bojanov, Borislav, Petrova, Guergana
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Arithmetic Means of Fourier Coefficients [PDF]
Proceedings of the American Mathematical Society, 1976 Given the Fourier coefficients of an even continuous function, we find a necessary and sufficient condition such that their arithmetic means are the Fourier coefficients of an odd continuous function. A similar result is shown for those Lipschitz classes whose elements are automatically equivalent to continuous functions.
Rajendra Sinha
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Two-Dimensional Hardy–Littlewood Theorem for Functions with General Monotone Fourier Coefficients [PDF]
, 2023 Altres ajuts: acords transformatius de la UABWe prove the Hardy-Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and, importantly, are not necessarily positive. The sharpness of the result
Kristina Oganesyan, Oganesyan, Kristina
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Eulerianity of Fourier coefficients of automorphic forms [PDF]
, 2021 We study the question of Eulerianity (factorizability) for Fourier coefficients of automorphic forms, and we prove a general transfer theorem that allows one to deduce the Eulerianity of certain coefficients from that of another coefficient.
Gourevitch, Dmitry, +15 more
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Fick Diffusion Coefficients via Molecular Dynamics: An Alternative Approach in the Fourier Domain [PDF]
, 2020 Mutual diffusion coefficient data are required for several systems of scientific and engineering interest to properly describe mass transport phenomena over a wide range of pressures, temperatures, and compositions.
Frederico W., Tavares +2 more
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A tabular method for performing Fourier analysis of complex biological shape [PDF]
, 1997 This is the author's PDF version of an book chapter published in Computing and statistics in osteoarchaeology ©1997. The paper was originally delivered at the second meeting of the Osteoarchaeological Research Group at the Institute of Archaeology ...
Lewis, Stephen J.
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Karpatsʹkì Matematičnì Publìkacìï, 2015 The subclass of a zero order entire function $f$ is pointed out for which the existence of angular $\upsilon$-density for zeros of entire function of zero order is equivalent to convergence in $L^p[0,2\pi]$-metric of its logarithmic derivative.
M.R. Mostova, M.V. Zabolotskyj
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Fourier coefficients associated with the Riemann zeta-function
Karpatsʹkì Matematičnì Publìkacìï, 2016 We study the Riemann zeta-function $\zeta(s)$ by a Fourier series method. The summation of $\log|\zeta(s)|$ with the kernel $1/|s|^{6}$ on the critical line $\mathrm{Re}\; s = \frac{1}{2}$ is the main result of our investigation.
Yu.V. Basiuk, S.I. Tarasyuk
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Discrete Fourier transform and permutations [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 It is well known that the magnitudes of the coefficients of the discrete Fourier transform (DFT) are invariant under certain operations on the input data. In this paper, the effects of rearranging the elements of an input data on its DFT are studied.
S. Hui, S.H. Żak
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