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The Fourier analysis in inhomogeneous media
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2023 In the paper, the definition and basic properties of the Fourier transform (FT) are discussed. It has been shown with specific examples that integral solutions of the model inhomogeneous equation, the nonstationary Cauchy problem on an inhomogeneous ...
Gnevyshev Vladimir, Belonenko Tatyana
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Operator-valued zeta functions and Fourier analysis [PDF]
, 2019 The Riemann zeta function $\zeta(s)$ is defined as the infinite sum $\sum_{n=1}^\infty n^{-s}$, which converges when ${\rm Re}\,s>1$. The Riemann hypothesis asserts that the nontrivial zeros of $\zeta(s)$ lie on the line ${\rm Re}\,s= \frac{1}{2}$. Thus,
Bender, Carl M., Brody, Dorje C
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Open Archaeology, 2018 This case study uses 3D scans of Central European Bronze Age swords (~1400-800BC) to recreate community networks of knowledge. 3D scans of 111 bronze swords were analyzed, from which measurements including blade profile, hilt profile, and decorative ...
Golubiewski-Davis Kristina
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Fast DBF for conformal arrays based on 2D Fourier decomposition
The Journal of Engineering, 2019 Digital array radars with conformal arrays are attractive for platforms with limited installation space such as aircraft and unmanned aerial vehicles.
Yuan Yao, Guangxin Wu
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Beilstein Journal of Nanotechnology, 2020 Atomic force microscopy (AFM) is an important tool for measuring a variety of nanoscale surface properties, such as topography, viscoelasticity, electrical potential and conductivity.
Berkin Uluutku, Santiago D. Solares
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Известия ТИНРО, 2021 Time series of air temperature and sea surface temperature in South Kuril region in July and August are extrapolated to 2020–2024 using modified method of Fourier decomposition. Both cyclic harmonic components and linear trend are accounted.
T. A. Shatilina +2 more
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Functional Equations and Fourier Analysis
, 2010 By exploring the relations among functional equations, harmonic analysis and representation theory, we give a unified and very accessible approach to solve three important functional equations -- the d'Alembert equation, the Wilson equation, and the d ...
Akkouchi +5 more
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Fractal and FractionalIn this work, we study the large-x asymptotic of classical solutions to the non-linear Benjamin equation modeling propagation of small amplitude internal waves in a two fluid system.
Nabendra Parumasur, Olabisi Aluko
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Entropy, 2019 What is the value of just a few bits to a guesser? We study this problem in a setup where Alice wishes to guess an independent and identically distributed (i.i.d.) random vector and can procure a fixed number of k information bits from Bob, who has ...
Nir Weinberger, Ofer Shayevitz
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Forward/Backward Decomposition for Dispersive Wave Propagation Measurements
Applied SciencesTwo complicating features commonly found in wave propagation applications include dispersion, i.e., frequency-dependent propagation velocity, and reflections, which introduce coherent noise.
Nicholas A. Corbin, Pablo Tarazaga
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