Results 1 to 10 of about 79,804 (306)
Total retardance measurements based on the complex Fourier coefficients for the rotating polarizer analyzer system [PDF]
Heliyon, 2023 We propose a demodulation algorithm based on the calculus of the complex Fourier coefficients; we used a dual rotating polarizer-analyzer polarimeter to show the feasibility of our proposal.
Geliztle A. Parra-Escamilla +3 more
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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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3-D Seismic Inversion by Model Parameterization With Fourier Coefficients [PDF]
IEEE Transactions on Geoscience and Remote Sensing, 2023 In seismic inversion, the subsurface model can be parameterized by a truncated Fourier series, and the inversion problem is then the inversion of the Fourier coefficients.
Fengxia Gao, Ying Rao, Tong Zhu
exaly +2 more sources
On the Vilenkin–Fourier coefficients [PDF]
Georgian Mathematical Journal, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadrature formulas for Fourier coefficients
Journal of Computational and Applied Mathematics, 2009 We consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials.
Guergana Petrova +3 more
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On Density of Fourier Coefficients
Canadian Mathematical Bulletin, 1973 Letfbe anLintegrable real valued function of period 2π and let(1)be its Fourier series. It is known that iffis of bounded variation then allnanandnbn(n=1,2,3,…) lie in the interval [-V(F)/π, V(F)/π;] whereV(f) is the total variation off. M.
Rafat N. Siddiqi
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Simultaneous sign change of Fourier-coefficients of two cusp forms
Archiv Der Mathematik, 2015 We consider the simultaneous sign change of Fourier coefficients of two modular forms with real Fourier coefficients. In an earlier work, the second author with Sengupta proved that two cusp forms of different (integral) weights with real algebraic ...
Sanoli Gun +2 more
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The Empirical Distribution of Fourier Coefficients
Annals of Statistics, 1980 Suppose $X_1, X_2, \cdots$ are independent, identically distributed complex-valued $L^2$ random variables with $EX_1 = 0$ and $E(|X_1|^2) = 1$. Let $Y_{nk}$ be the $k$th Fourier coefficient of $X_1, \cdots, X_n$: $Y_{nk} = \sum^n_{j=1} X_j \exp \big(\frac{2\pi(-1)^{1/2}kj}{n}\big).$ Let $\mu_n$ be the empirical distribution of $\{n^{-1/2}Y_{nk}: k = 1,
David Freedman
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Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
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Journal of Optimization, Differential Equations and Their Applications, 2023 For the problem of optimal control of a parabolic-hyperbolic process with nonlocal point boundary conditions, an explicit form of the solution is obtained in the form of formal series according to the system of eigenfunctions, which are generated by the ...
Volodymyr O. Kapustyan +3 more
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