Paley and Hardy's inequalities for the Fourier-Dunkl expansions by Anis Elgarna

“…Research limitations/implications – This work is a participation in extending the harmonic analysis associated with the Dunkl operators and it shows the utility of BMO spaces to establish some analytical results. …”
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Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces by Javanshir J. Hasanov

“…These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operator.…”
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Internal tides off the Amazon shelf in the western tropical Atlantic: analysis of SWOT Cal/Val mission data by M. Tchilibou, L. Carrere, F. Lyard, C. Ubelmann, G. Dibarboure, E. D. Zaron, B. K. Arbic

“…Internal tide amplitudes (models or atlases) are first derived by harmonic analysis of the SWOT sea level anomaly (SLA). …”
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On the Weak Solution to a Fractional Nonlinear Schrödinger Equation by Zujin Zhang, Xiaofeng Wang, Zheng-an Yao

“…In our proof, we use harmonic analysis techniques and compactness arguments.…”
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On a Fractional Nonlinear Hyperbolic Equation Arising from Relative Theory by Zujin Zhang, Xiaofeng Wang, Zheng-an Yao

“…In our proof, we use harmonic analysis techniques and compactness arguments.…”
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Influence of Frequency Converters on Insulation of Power Supply Cables at Oil-Producing Stations by D. I. Zalizny, O. G. Shirokov, S. N. Koukharenko, E. Y. Ustimenko

“…The possible approaches to the solution of the problem are proposed on the basis of a harmonic analysis of actually measured voltages and currents in a cable.…”
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Asymptotic Distributions for Power Variations of the Solution to the Spatially Colored Stochastic Heat Equation by Wensheng Wang, Xiaoying Chang, Wang Liao

“…We use the underlying explicit kernels and spectral/harmonic analysis, yielding temporal central limit theorems for SHEs with spatially colored noise. …”
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Are Pitch-Class Profiles Really “Key for Key”? by Ian Quinn

“…The system has no access to explicit information about a chord progression other than its transpositional distribution in the training corpus, yet it is able to reach an almost stunning degree of subtlety in its harmonic analysis of chorales it’s never heard before. …”
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The Maximal Strichartz Family of Gaussian Distributions: Fisher Information, Index of Dispersion, and Stochastic Ordering by Alessandro Selvitella

“…This is a subfamily of the family of Gaussian Distributions that arises naturally in the context of the Linear Schrödinger Equation and Harmonic Analysis, as the set of maximizers of certain norms introduced by Strichartz. …”
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Aeroelastic Vibrations and Stability in Cyclic Symmetric Domains by Bernard Lalanne, Maurice Touratier

“…The aerodynamic load is then derived from a harmonic analysis of the fluid flow extending to turbomachinery as in the case of aeroplane wing. …”
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A Brief Survey of the Graph Wavelet Frame by Jie Zhou, Zeze Zhang

“…In recent years, the research of wavelet frames on the graph has become a hot topic in harmonic analysis. In this paper, we mainly introduce the relevant knowledge of the wavelet frames on the graph, including relevant concepts, construction methods, and related theory. …”
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An Analytical Study of the Diffraction of Light by a Circular Aperture Using Spherical Harmonics for n≤1 by Mahmoud Ahmad, Najah Kabalan, Samar Omran

“…We noticed that the expansion we made using spherical harmonic analysis led to an increase in the number of fringes bright enough to be visible to the naked eye. …”
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Low‐cost fabrication of polymer substrate‐based piezoelectric microgenerator with PPE, IDE and ME by S.S. Balpande, M.L. Bhaiyya, R.S. Pande

“…Zinc oxide and polymer have been used as piezoelectric material and substrate, respectively, for biocompatible device. The harmonic analysis was carried out using finite element method (FEM) tool to examine the effect of the electrodes on the output voltage. …”
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Numerical Investigation and Experimental Verification of Vibration Behavior for a Beam with Cantilever-Hertzian Contact Boundary Conditions by Yinnan Zhang, Chao Zhang, Yuan Meng, Wanbin Ren

“…Afterward, the harmonic response of the beam is numerically solved individually by using the transient analysis model and the harmonic analysis model in ANSYS Workbench 2021R1 software. …”
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Monitoring of Ionospheric Anomalies Using GNSS Observations to Detect Earthquake Precursors by Nicola Perfetti, Yuri Taddia, Alberto Pellegrinelli

“…We describe how to compute these parameters from GNSS data for a regional network using Adjusted Spherical Harmonic Analysis (ASHA) applied to a local model. The proposed method was tested to study ionospheric anomalies for two seismic events: the 2015 Nepal and 2023 Turkey earthquakes. …”
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Unidirectional Alleviation of the Diffraction Limit in Geometrically Anisotropic Photonics by El Badri Youssef, Mangach Hicham, Belkacem Abdelhaq, Oubeniz Hammou, Bouzid Abdenbi, Achaoui Younes

“…We harness the full weight of modal and harmonic analysis based on the Finite Element Method to demonstrate that scaling the direction perpendicular to the wave’s propagation reduced by fourfold the diffraction limit from 100 THz to 400 THz.…”
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Comparative analysis of harmonic sensitivity for stator fault diagnosis in induction motors by Allal Abderrahim, Lamouchi Zakaria, Abderrahmane Khechekhouche, Antonio Marcos de Oliveira Siqueira, Julio César Costa Campos, Kheireddine Lamamra

“…The combination of FFT-based signal processing and harmonic analysis establishes a robust framework for the early detection and localization of faults in asynchronous motors within industrial settings. …”
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