Results 1 to 10 of about 471,906 (281)
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 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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Alternative Method to Estimate the Fourier Expansions and Its Rate of Change
Mathematics, 2022 This paper presents a methodology to obtain the Fourier coefficients (FCs) and the derivative Fourier coefficients (DFCs) from an input signal. Based on the Taylor series that approximates the input signal into a trigonometric signal model through the ...
Johnny Rodríguez-Maldonado +2 more
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The general two-dimensional divisor problems involving Hecke eigenvalues
AIMS Mathematics, 2022 We consider the general two-dimensional divisor problems involving Hecke eigenvalues, and are able to improve the previous results in this direction.
Jing Huang +3 more
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Coefficients of multiple Fourier-Haar series and variational modulus of continuity
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov +3 more
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On triple correlation sums of Fourier coefficients of cusp forms
AIMS Mathematics, 2022 Let $ p $ be a prime. In this paper, we study the sum $ \sum\limits_{m\ge 1} \sum\limits_{n\ge 1} a_n \lambda_g(m)\lambda_{f}(m+pn) \,U{ \left( \frac{m}{X} \right) }V{ \left ( \frac{n}{H} \right)} $ for any newforms $ g\in \mathcal{B}_k(1 ...
Fei Hou , Bin Chen
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A reduction principle for Fourier coefficients of automorphic forms [PDF]
, 2020 In this paper we analyze a general class of Fourier coefficients of automorphic forms on reductive adelic groups $\mathbf{G}(\mathbb{A}_\mathbb{K})$ and their covers.
Gourevitch, Dmitry +4 more
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Scientific Reports, 2022 Chirps are familiar in nature, have a built-in resistance to noise and interference, and are connected to a wide range of highly oscillatory processes.
Omar T. Bafakeeh +9 more
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On the exponential sums estimates related to Fourier coefficients of GL3 Hecke-Maaß forms
AIMS Mathematics, 2023 Let $ F $ be a normlized Hecke-Maaß form for the congruent subgroup $ \Gamma_0(N) $ with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum $ \mathscr{L}_F(\alpha) = \sum\limits_{n\le X} A_F(n,
Fei Hou
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