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This paper introduces a fast algorithm for computing sparse Fourier transforms with spatial and Fourier data supported on curves or surfaces. This problem appears naturally in several important applic...
Abstract: We introduce a fast Fourier Transform on regular d-dimensional lattices. We investigate properties of congruence class representants, i.e. their ordering, to classify directions and derive a...
Abstract: The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization ...
In this paper, we prove the Hardy-Littlewood inequality for the generalized Fourier transform on Ch´ebli-Trim`eche hypergroups and we study in the particular case of the Jacobi hypergroup the in...
We calculate the local Fourier transforms for connections on the formal punctured disk, corroborating the results of J. Fang and C. Sabbah using a different method. Our method is similar to Fang's, bu...
We give a detailed study of the discrete Fourier transform (DFT) of r-even arithmetic unctions, which form a subspace of the space of r-periodic arithmetic functions. We consider the DFT of sequence...
We study the $L^{p}$-Fourier transform for a special class of exponential Lie groups, the strong $\ast$-regular exponential Lie groups. Moreover, we provide an estimate of its norm using the orbit met...
专著信息 书名 Matrix isolation Fourier transform infrared spectroscopic and density functional theoretical studies of the reactions of chromium atoms and acetylene 语种 英文 撰写或编译 作者 Z. G. Huang,A. H. Zeng,J. D...
We consider hypersurfaces S \subset \RR3 with zero Gaussian curvature at every ordinary point with surface measure dS and define the surface measure dm = y(x)dS(x) for smooth function y with compact s...

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