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Pseudosymmetric Spaces as Generalization of Symmetric spaces [PDF]

Sahand 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, Yusuf Zeren, Betule Alizade, Feyza Elif Dal   +3 more
doaj   +1 more source

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

Sahand 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 POLYLOGARITHMS [PDF]

International 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, Vermaseren, Josef Anton M.   +1 more
openaire   +2 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

IEEE 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, G. Anzueto-Sanchez, A. Martinez-Rios, J. Camas-Anzueto, R. E. Nunez-Gomez, J. A. Martin-Vela   +5 more
doaj   +1 more source

Subclasses of Noshiro-Type Starlike Harmonic Functions Involving q-Srivastava–Attiya Operator

Mathematics, 2023
In this paper, the harmonic function related to the q-Srivastava–Attiya operator is described to introduce a new class of complex harmonic functions that are orientation-preserving and univalent in the open-unit disk. We also cover some important aspects
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ   +3 more
doaj   +1 more source

Time-domain Dynamic State Estimation for Unbalanced Three-phase Power Systems

Journal of Modern Power Systems and Clean Energy, 2023
In this paper, we present a time-domain dynamic state estimation for unbalanced three-phase power systems. The dynamic nature of the estimator stems from an explicit consideration of the electromagnetic dynamics of the network, i.e., the dynamics of the ...
Martin Pfeifer, Felicitas Mueller, Steven de Jongh, Frederik Gielnik, Thomas Leibfried, Soren Hohmann   +5 more
doaj   +1 more source

Damper Winding for Noise and Vibration Reduction of a Permanent Magnet Synchronous Machine

Sensors, 2022
In this paper, a passive method for the noise reduction of the PMSM (Permanent Magnet Synchronous Machine) is presented. The principle is to add an auxiliary three-phase winding into the same slots as the initial stator winding, short-circuited via three
Sijie Ni, Grégory Bauw, Raphaël Romary, Bertrand Cassoret, Jean Le Besnerais   +4 more
doaj   +1 more source

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

IEEE 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, Tommaso Caldognetto, Danilo Brandao, Paolo Mattavelli   +3 more
doaj   +1 more source

On bases from cosines in Lebesgue spaces with variable summability index

Journal 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

Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]

Abstract 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