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Some Expansions in Basic Fourier Series

2003
Our main objective in this chapter is to present explicit expansions of many elementary and q-functions in basic Fourier series. This leads, in a natural way, to a new class of formulas never investigated before from the I an analytical and/or numerical point of view [26], [146]. In our presentation y most of the material can be read independently from
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Convergence: Fourier series vs. wavelet expansions

1994
Wavelet bases were introduced in the 1980’s as new orthonormal bases of various spaces. Much has been studied on the theory of wavelets, and many applications have been made. Several interesting facts about wavelets can be found by examining convergence properties for wavelet expansions, and comparing them with similar properties for Fourier series.
Susan E. Kelly   +2 more
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Summation of Derived Fourier Series: An Application to Fourier Expansions on Compact Lie Groups

The Annals of Mathematics, 1936
Introduction. Recently' the author investigated the question of convergence and summability of multiple Fourier Series from a new view point. It was shown that there exists, for Fourier series of all dimensions, a general type of summation processes under which the convergence or non-convergence of the corresponding partial sums at a given point ...
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Methods for the Fourier‐series expansion of torsional energies

Journal of Computational Chemistry, 1989
AbstractSeveral general procedures for the derivation and analysis of a Fourier‐series expansion V(ϕ) over computed torsional energies E(ϕi) are formulated. STO‐3G energy values in n‐butane, 1‐chloropropane, and 1,2‐dichloroethane are used as test data for deriving V(ϕ) with the numerical methods of interpolation and least squares. The accuracy of each
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Adaptive formation control of leader–follower mobile robots using reinforcement learning and the Fourier series expansion

ISA Transactions, 2023
Gholamreza Khodamipour   +2 more
exaly  

Fourier Series Expansion Based Filter Parametrization for Equivariant Convolutions

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Deyu Meng
exaly  

Nonparametric estimation of ruin probability by complex Fourier series expansion in the compound Poisson model

Communications in Statistics - Theory and Methods, 2022
Wenguang Yu, Chaolin Liu
exaly  

Automatic diagnosis of glaucoma using two-dimensional Fourier-Bessel series expansion based empirical wavelet transform

Biomedical Signal Processing and Control, 2021
Pradeep Kumar Chaudhary   +1 more
exaly  

Expansion of the classical differential cross section in a Fourier series

Journal of Chemical Physics, 1981
Eric A Gislason, Gislason Eric A
exaly  

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