Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups [PDF]
, 2010 We define lacunary Fourier series on a compact connected semisimple Lie group $G$. If $f \in L^1(G)$ has lacunary Fourier series, and vanishes on a non empty open set, then we prove that $f$ vanishes identically.
Narayanan, E K, Sitaram, A
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On (J,pn) summability of Fourier series
International Journal of Mathematics and Mathematical Sciences, 1989 In this note two theorems have been established. The first one deals with the summability (J,pn) of a Fourier series while the second on concerns with the summability of the first derived Fourier series.
S. M. Mazhar
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On the partial sums of Vilenkin-Fourier series [PDF]
, 2014 The aim of this paper is to investigate weighted maximal operators of partial sums of Vilenkin-Fourier series. Also, the obtained results we use to prove approximation and strong convergence theorems on the martingale Hardy spaces Hp, when 0 < p ≤ 1.
G. Tephnadze
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Product Summability Transform of Conjugate Series of Fourier Series
International Journal of Mathematics and Mathematical Sciences, 2012 A known theorem, Nigam (2010) dealing with the degree of approximation of conjugate of a signal belonging to Lipξ(t)-class by (E,1)(C,1) product summability means of conjugate series of Fourier series has been generalized for the weighted W(Lr,ξ(t)), (r ...
Vishnu Narayan Mishra +2 more
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Almost holomorphic Poincare series corresponding to products of harmonic Siegel-Maass forms [PDF]
, 2016 We investigate Poincar\'e series, where we average products of terms of Fourier series of real-analytic Siegel modular forms. There are some (trivial) special cases for which the products of terms of Fourier series of elliptic modular forms and harmonic ...
Bringmann, K. +2 more
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Harmonic Quantitative Analysis for Dead-Time Effects in SPWM Inverters
IEEE Access, 2019 Dead-time is commonly designed to avoid shoot-through phenomenon within each arm in voltage source converter. The presence of dead-time tends to cause a power quality issue.
Ning Jiao +4 more
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Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series [PDF]
, 2007 Let G be a compact Lie group acting transitively on Riemannian manifolds M and N. Let p be a G equivariant Riemannian submersion from M to N. We show that a smooth differential form on N has finite Fourier series if and only if the pull back has finite ...
Berard-Bergery L +9 more
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On the convergence of Fourier series
International Journal of Mathematics and Mathematical Sciences, 1984 We define the space Bp={f:(−π,π]→R, f(t)=∑n=0∞cnbn(t), ∑n=0∞|cn|
Geraldo Soares de Souza
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A Fourier Series Approximation for Deep-water Waves
한국해양공학회지, 2022 Dean (1965) proposed the use of the root mean square error (RMSE) in the dynamic free surface boundary condition (DFSBC) and kinematic free-surface boundary condition (KFSBC) as an error evaluation criterion for wave theories.
JangRyong Shin
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Fourier series of atomic radial distribution functions: A molecular fingerprint for machine learning models of quantum chemical properties [PDF]
, 2013 We introduce a fingerprint representation of molecules based on a Fourier series of atomic radial distribution functions. This fingerprint is unique (except for chirality), continuous, and differentiable with respect to atomic coordinates and nuclear ...
O. V. Lilienfeld +3 more
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