Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables
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DOI: 10.1007/s00208-016-1448-4
Abstract: Let $$-d$$-d be a a negative discriminant and let T vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $$-d$$-d. We prove an asymptotic formula for… read more here.
Keywords: averages fourier; siegel modular; coefficients siegel; binary quadratic ... See more keywords
General Fourier coefficients
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DOI: 10.1007/s10474-019-00911-y
Abstract: It is well known that if $${f \in L_{2}(0,1)}$$f∈L2(0,1) is an arbitrary function ($${{f(x) \nsim 0}, x \in [0,1]}$$f(x)≁0,x∈[0,1]) then its Fourier coefficients with respect to general orthonormal systems (ONS) may belong only to $${\ell_2}$$ℓ2.… read more here.
Keywords: fourier coefficients; general fourier;
Classification of rose flowers based on Fourier descriptors and color moments
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DOI: 10.1007/s11042-021-11397-8
Abstract: In this paper, a rose-flower variety classification scheme, using color and shape features is presented. The first three statistical moments of the R, G, and B planes of the image were calculated to describe the… read more here.
Keywords: color; classification; shape; fourier coefficients ... See more keywords
Circle embeddings with restrictions on Fourier coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124083
Abstract: Abstract This paper continues the investigation of the relation between the geometry of a circle embedding and the values of its Fourier coefficients. First, we answer a question of Kovalev and Yang concerning the support… read more here.
Keywords: embeddings restrictions; fourier coefficients; geometry; restrictions fourier ... See more keywords
Non-vanishing of fundamental Fourier coefficients of paramodular forms
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DOI: 10.1016/j.jnt.2017.07.002
Abstract: We prove that paramodular newforms of odd square-free level have infinitely many non-zero fundamental Fourier coefficients. read more here.
Keywords: fundamental fourier; coefficients paramodular; fourier coefficients; paramodular forms ... See more keywords
Basis and regularity properties of (p,q)-trigonometric functions and the decay of (p,q)-Fourier coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0548
Abstract: The basis and regularity properties of the generalized trigonometric functions sinp,q and cosp,q are investigated. Upper bounds for the Fourier coefficients of these functions are given. Conditions are obtained under which the functions cosp,q generate… read more here.
Keywords: basis; fourier coefficients; trigonometric functions; basis regularity ... See more keywords
Optimal Selection of Fourier Coefficients for Compressed Sensing-Based UWB Channel Estimation
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Wireless Communications Letters"
DOI: 10.1109/lwc.2017.2704105
Abstract: In this letter, we propose a compressed sensing-based approach for channel estimation in wireless ultra-wideband (UWB) communication systems. The channel is estimated from a minimum number of received signal Fourier coefficients, using a measurement matrix… read more here.
Keywords: estimation; sensing based; uwb channel; compressed sensing ... See more keywords
Design of Nonuniformly Spaced Antenna Arrays Using Fourier’s Coefficients Equating Method
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2018.2861981
Abstract: An analytic method is proposed to design nonuniformly spaced antenna arrays (NSAAs) to have radiation pattern as close as to that of a previously designed uniformly spaced antenna arrays (USAAs). The desired radiation patterns could… read more here.
Keywords: nonuniformly spaced; fourier coefficients; antenna arrays; method ... See more keywords
3-D Seismic Inversion by Model Parameterization With Fourier Coefficients
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Geoscience and Remote Sensing"
DOI: 10.1109/tgrs.2023.3268410
Abstract: In seismic inversion, the subsurface model can be parameterized by a truncated Fourier series, and then, the inversion problem is the inversion of the Fourier coefficients. To improve the efficiency of the evaluation of the… read more here.
Keywords: model parameterization; fourier coefficients; inversion;
On triple correlations of Fourier coefficients of cusp forms. II
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DOI: 10.1142/s1793042119500374
Abstract: The triple correlation [Formula: see text] for arbitrary coefficients [Formula: see text] is estimated on average over [Formula: see text] in some short intervals. By introducing a device of short intervals, we are able to… read more here.
Keywords: see text; formula see; cusp forms; short intervals ... See more keywords
Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform
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DOI: 10.1142/s1793042121500524
Abstract: We obtain certain estimates for averages of shifted convolution sums involving the Fourier coefficients of a normalized Hecke–Maass eigenform and holomorphic cusp form. read more here.
Keywords: sums involving; fourier coefficients; involving fourier; hecke maass ... See more keywords