Results 21 to 30 of about 79,804 (306)
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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Fourier coefficients and small automorphic representations [PDF]
, 2021 In this paper we analyze Fourier coefficients of automorphic forms on adelic reductive groups $G(\mathbb{A})$. Let $\pi$ be an automorphic representation of $G(\mathbb{A})$. It is well-known that Fourier coefficients of automorphic forms can be organized
Persson, D. +4 more
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A method to derive Fourier–wavelet spectra for the characterization of global-scale waves in the mesosphere and lower thermosphere and its MATLAB and Python software (fourierwavelet v1.1) [PDF]
Geoscientific Model Development, 2023 This paper describes a simple method for characterizing global-scale waves in the mesosphere and lower thermosphere (MLT), such as tides and traveling planetary waves, using uniformly gridded two-dimensional longitude–time data.
Y. Yamazaki
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Eulerianity of Fourier coefficients of automorphic forms
, 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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Two-point boundary value problem for a partial differential equation in spaces of periodic functions
Математичні Студії, 2020 We investigate the two-point in time boundary value problem for the partial differential equations of the second-order with one spatial variable and constant coefficients. The problem is considered in in the spaces of functions which Fourier coefficients
V.S. Ilkiv +3 more
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Fick Diffusion Coefficients via Molecular Dynamics: An Alternative Approach in the Fourier Domain
, 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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Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $f$ be an entire function of order $\rho\in (0,+\infty)$ with zeros on a finite system of rays $\{z: \arg z=\psi_{j}\}$, $j\in\{1,\ldots,m\}$, $0\le ...
R.V. Khats'
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ON FOURIER COEFFICIENTS OF MODULAR FORMS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractRecursive formulae satisfied by the Fourier coefficients of meromorphic modular forms on groups of genus zero have been investigated by several authors. Bruinieret al. [‘The arithmetic of the values of modular functions and the divisors of modular forms’,Compositio Math.140(3) (2004), 552–566] found recurrences for SL(2,ℤ); Ahlgren [‘The theta ...
Cummins, C. J., Haghighi, N. S.
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Efficient Fourier Single-Pixel Imaging with Gaussian Random Sampling
Photonics, 2021 Fourier single-pixel imaging (FSI) is a branch of single-pixel imaging techniques. It allows any image to be reconstructed by acquiring its Fourier spectrum by using a single-pixel detector.
Ziheng Qiu +5 more
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On a Sequence of Fourier Coefficients [PDF]
Proceedings of the American Mathematical Society, 1956 Let \(B_{n}(x)\) be the \(n\)-th term of the conjugate Fourier series of \(f(x),\) and let \(\psi(t)=f(x+t)-f(x-t)-l\). The author shows that if \[ \Psi(t)=\int_{0}^{t}\psi(u)du=o(t) \text{ and } \int_{\varepsilon}^{\delta}\frac{|\psi(t+\epsilon)-\psi(t)|}{t}dt\rightarrow 0 \] as \(\varepsilon\rightarrow 0\) for some fixed \(\delta\), then the sequence
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