Academic literature on the topic 'L-Gauss transform'

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Journal articles on the topic "L-Gauss transform"

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Duijndam, A. J. W., and M. A. Schonewille. "Nonuniform fast Fourier transform." GEOPHYSICS 64, no. 2 (1999): 539–51. http://dx.doi.org/10.1190/1.1444560.

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The nonuniform discrete Fourier transform (NDFT) can be computed with a fast algorithm, referred to as the nonuniform fast Fourier transform (NFFT). In L dimensions, the NFFT requires [Formula: see text] operations, where M𝓁 is the number of Fourier components along dimension 𝓁, N is the number of irregularly spaced samples, and ε is the required accuracy. This is a dramatic improvement over the [Formula: see text] operations required for the direct evaluation (NDFT). The performance of the NFFT depends on the lowpass filter used in the algorithm. A truncated Gauss pulse, proposed in the liter
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Chen, Xuan, Pei Dang, and Weixiong Mai. "Lp$$ {L}^p $$‐theory of linear canonical transforms and related uncertainty principles." Mathematical Methods in the Applied Sciences, January 28, 2024. http://dx.doi.org/10.1002/mma.9920.

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In this paper, we revisit some fundamental properties of linear canonical transform (abbreviated as LCT). In particular, we prove the additive property rigorously for LCT in the higher dimensional case (abbreviated as MLCT). We also consider the ‐theory of MLCT with . Specifically, the inversion theorem of MLCT by the related Gauss and Abel means is studied, and the pointwise convergence of approximate identities with respect to convolution for MLCT is also obtained. As applications, we study the ‐type Heisenberg‐Pauli‐Weyl uncertainty principles and the ‐type Donoho‐Stark uncertainty principl
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David, Chantal, and Ahmet M. Güloğlu. "One-Level Density and Non-Vanishing for Cubic L-Functions Over the Eisenstein Field." International Mathematics Research Notices, September 6, 2021. http://dx.doi.org/10.1093/imrn/rnab240.

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Abstract We study the one-level density for families of $L$-functions associated with cubic Dirichlet characters defined over the Eisenstein field. We show that the family of $L$-functions associated with the cubic residue symbols $\chi _n$ with $n$ square-free and congruent to 1 modulo 9 satisfies the Katz–Sarnak conjecture for all test functions whose Fourier transforms are supported in $(-13/11, 13/11)$, under the Generalized Riemann Hypothesis. This is the first result extending the support outside the trivial range $(-1, 1)$ for a family of cubic $L$-functions. This implies that a positiv
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Campos Pinto, Martin, Jakob Ameres, Katharina Kormann, and Eric Sonnendrücker. "On Variational Fourier Particle Methods." Journal of Scientific Computing 101, no. 3 (2024). http://dx.doi.org/10.1007/s10915-024-02708-w.

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AbstractIn this article we describe a unifying framework for variational electromagnetic particle schemes of spectral type, and we propose a novel spectral Particle-In-Cell (PIC) scheme that preserves a discrete Hamiltonian structure. Our work is based on a new abstract variational derivation of particle schemes which builds on a de Rham complex where Low’s Lagrangian is discretized using a particle approximation of the distribution function. In this framework, which extends the recent Finite Element based Geometric Electromagnetic PIC (GEMPIC) method to a wide variety of field solvers, the di
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Dissertations / Theses on the topic "L-Gauss transform"

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Sieuzac, Romain. "Sur les g-hérissons de l'espace hyperbolique et de l'hyper-sphère, ainsi que leurs transformés de L-Gauss." Electronic Thesis or Diss., CY Cergy Paris Université, 2023. http://www.theses.fr/2023CYUN1272.

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La notion de hérisson a été introduite par R.Langevin, G.Levitt et H.Rosenberg et correspond à la réalisation géométrique des différences formelles de corps convexes sur l'espace euclidien. Par la suite, Y.Martinez-Maure a largement développé la théorie des hérissons, ce qui lui a permis, entre autres, de résoudre le problème de la conjecture d'A.D.Alexandrov en produisant un contre-exemple en 2001. Aussi, on retrouve sur l'ensemble des hérissons des relations que l'on connaît sur les corps convexes, dont, en particulier, les inégalités de Minkowski et les inégalités isopérimétriques. C'est ai
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