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Frontiers in Earth ScienceThe inversion of elastic and fracture parameters from azimuthal seismic data plays a critical role in charactering naturally fractured reservoirs. We propose a Fourier coefficients-based stepwise Bayesian inversion method to estimate these reservoir ...
Jingkun Sui +4 more
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An Optimal Pufferfish Privacy Mechanism for Temporally Correlated Trajectories
IEEE Access, 2018 Temporally correlated trajectories are ubiquitous, and it has been a challenging problem to protect the temporal correlation from being used against users' privacy.
Lu Ou +4 more
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On summation of Fourier series in finite form
Discrete and Continuous Models and Applied Computational ScienceThe problem of summation of Fourier series in finite form is formulated in the weak sense, which allows one to consider this problem uniformly both for classically convergent and for divergent series. For series with polynomial Fourier coefficients \(a_n,
Mikhail D. Malykh, Ksaverii Yu. Malyshev
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FOURIER COEFFICIENTS OF CONTINUOUS FUNCTIONS WITH RESPECT TO LOCALIZED HAAR SYSTEM
Проблемы анализа, 2017 We construct a nontrivial example of a continuous function f* on [0, 1]² which is orthogonal to tensor products of Haar functions supported on intervals of the same length.
E. S. Belkina, Yu. V. Malykhin
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Divisors of Fourier coefficients of two newforms
, 2021 Arvind Kumar, Moni Kumari
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The Empirical Distribution of Fourier Coefficients
The 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,
Freedman, David, Lane, David
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Functions of Minimal Norm with the Given Set of Fourier Coefficients
Mathematics, 2019 We prove the existence and uniqueness of the solution of the problem of the minimum norm function ∥ · ∥ ∞ with a given set of initial coefficients of the trigonometric Fourier series c j , j = 0 , 1 , … , 2 n ...
Pyotr Ivanshin
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On Signs of Fourier Coefficients of Hecke-Maass Cusp Forms on $\mathrm{GL}_3$ [PDF]
, 2022 Jesse Jääsaari
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The analytic renormalization group
Nuclear Physics B, 2016 Finite temperature Euclidean two-point functions in quantum mechanics or quantum field theory are characterized by a discrete set of Fourier coefficients Gk, k∈Z, associated with the Matsubara frequencies νk=2πk/β.
Frank Ferrari
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Fourier coefficients of Eisenstein series of one complex variable for the special linear group [PDF]
, 1975 Audrey Terras
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