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Pseudosymmetric Spaces as Generalization of Symmetric spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its ...
Bilal Bilalov   +3 more
doaj   +1 more source

HARMONIC POLYLOGARITHMS [PDF]

open access: yesInternational Journal of Modern Physics A, 2000
The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x=1/z and x=(1-t)/(1+t). The coefficients of their expansions and their Mellin transforms
Remiddi, Ettore   +1 more
openaire   +2 more sources

$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2019
In the present work the space  $L_{p;r} $ which is continuously embedded into $L_{p} $  is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied.
Ali Huseynli, Asmar Mirzabalayeva
doaj   +1 more source

Harmonic knots [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2016
The harmonic knot [Formula: see text] is parametrized as [Formula: see text] where [Formula: see text], [Formula: see text] and [Formula: see text] are pairwise coprime integers and [Formula: see text] is the degree [Formula: see text] Chebyshev polynomial of the first kind. We classify the harmonic knots [Formula: see text] for [Formula: see text] We
Koseleff, Pierre-Vincent, Pecker, Daniel
openaire   +4 more sources

Harmonic Voltage Synchronization Using GPS Modules for Grid-Connected Power Converters

open access: yesIEEE Open Journal of Power Electronics, 2022
Voltage-controlled inverters (VCI) for distributed energy resources allow operation in grid-connected and islanded conditions. Common techniques based on $P$-$f$, $Q$-$V$ droop-control use sinusoidal voltage references for the VCIs, which brings unwanted
Lucas Savoi Araujo   +3 more
doaj   +1 more source

Harmonic Alignment [PDF]

open access: yes, 2020
Published in SIAM Data Mining 2020.
Stanley III, Jay S.   +3 more
openaire   +3 more sources

Demonstration of Improving the Performance of a Fibre Optic Displacement Sensor Using the Optical Harmonic Vernier Effect by Cascading Tapered Optical Single-Mode Fibres

open access: yesIEEE Photonics Journal, 2023
An experimental demonstration for generating harmonics in the optical Vernier effect (OVE) by cascading tapered single-mode fibres (SMF28) is presented. The tapered optical fibres conformed to a pair of in-series Mach-Zehnder fibre interferometers (MZFI),
L. Guillen-Ruiz   +5 more
doaj   +1 more source

On bases from cosines in Lebesgue spaces with variable summability index

open access: yesJournal of Inequalities and Applications, 2016
In this paper the perturbed system of cosines is considered. Under certain conditions on the summability index p ( ⋅ ) $p (\cdot )$ and perturbation, the basicity of this system in Lebesgue spaces L p ( ⋅ ) ( 0 , π ) $L_{p (\cdot )} (0,\pi )$ with ...
Togrul Muradov, Chingiz Hashimov
doaj   +1 more source

A High Power Quality Buck-H Auxiliary Power Converter in Railway Applications

open access: yesFrontiers in Energy Research, 2022
DC voltage utilization and AC voltage harmonics are important evaluation indexes for Auxiliary Power Converter in Railway Applications. To improve the above two indicators, a novel switch-mode modulation method and quasi-PR control strategy for Buck-H ...
Zheng Lan   +6 more
doaj   +1 more source

Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]

open access: yesAbstract and Applied Analysis, 2012
For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U = ϕ−1(V) ⊂ M projects down, via its horizontal component, to a ...
openaire   +4 more sources

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