On Fourier–Bessel matrix transforms and applications
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7489
Abstract: The Fourier–Bessel transform is an integral transform and is also known as the Hankel transform. This transform is a very important tool in solving many problems in mathematical sciences, physics, and engineering. Very recently, Abdalla… read more here.
Keywords: bessel matrix; fourier bessel; matrix transforms; transform ... See more keywords
On Derivatives, Riesz Transforms and Sobolev Spaces for Fourier–Bessel expansions
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DOI: 10.1007/s00041-021-09896-1
Abstract: We study the problem of an appropriate choice of derivatives associated with discrete Fourier-Bessel expansions. We introduce a new so-called essential measure Fourier-Bessel setting, where the relevant derivative is simply the ordinary derivative. Then we… read more here.
Keywords: derivatives riesz; fourier bessel; bessel expansions; sobolev spaces ... See more keywords
The Mixed Fourier–Bessel Transform of a Radial Bessel j-Function
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-017-3541-y
Abstract: We find the weighted spherical mean of the kernel of the mixed Fourier–Bessel transform and the mixed Fourier–Bessel transform of a radial compactly supported function. In a space of weighted distributions, we obtain a formula… read more here.
Keywords: bessel transform; fourier bessel; mixed fourier; transform radial ... See more keywords
Bi-anisotropic resonators analyzed using Fourier–Bessel numerical formulation; Sagnac effect application
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DOI: 10.1016/j.optcom.2018.11.026
Abstract: Abstract The spectral Fourier–Bessel numerical solver is suitable for obtaining steady state modal properties for resonators and waveguides fitting a cylindrical geometry. The material properties and geometry of the structures are directly responsible for the… read more here.
Keywords: sagnac effect; fourier bessel; anisotropic resonators; geometry ... See more keywords
Application of Fourier-Bessel expansion and LSTM on multi-lead ECG for cardiac abnormalities identification
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DOI: 10.1088/1361-6579/aca4b9
Abstract: Objective. The availability of online electrocardiogram (ECG) repositories can aid researchers in developing automated cardiac abnormality diagnostic systems. Using such ECG repositories, this study aims to develop an algorithm that can assist physicians in diagnosing… read more here.
Keywords: bessel expansion; methodology; lead ecg; cardiac abnormalities ... See more keywords
Fabulous code for spherical Fourier-Bessel decomposition
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DOI: 10.1103/physrevd.104.123548
Abstract: The spherical Fourier-Bessel (SFB) decomposition is a natural choice for the radial/angular separation that allows extraction of cosmological information from large volume galaxy surveys, taking into account all wide-angle effects. In this paper we develop… read more here.
Keywords: decomposition; fourier bessel; sfb power; spherical fourier ... See more keywords
Fourier–Bessel Basis Functions for the Analysis of Elliptical Domain Metasurface Antennas
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DOI: 10.1109/lawp.2018.2811620
Abstract: An approach based on the method of moments and using a set of stretched Fourier–Bessel basis functions (FBBFs) is presented for the analysis of elliptical domain metasurfaces (MTSs). This shape is preferred to the traditional… read more here.
Keywords: bessel basis; basis functions; elliptical domain; fourier bessel ... See more keywords
Convergence analysis of various factorization rules in the Fourier-Bessel basis for solving Maxwell equations using modal methods.
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DOI: 10.1364/oe.413632
Abstract: The choice of factorization rule can strongly affect the convergence of solutions to Maxwell equations based on the orthogonal expansion of electromagnetic fields. While this issue has already been investigated thoughtfully for the Fourier basis… read more here.
Keywords: expansion; fourier bessel; factorization; basis ... See more keywords
Automated Emotion Identification Using Fourier–Bessel Domain-Based Entropies
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DOI: 10.3390/e24101322
Abstract: Human dependence on computers is increasing day by day; thus, human interaction with computers must be more dynamic and contextual rather than static or generalized. The development of such devices requires knowledge of the emotional… read more here.
Keywords: automated emotion; emotion; fourier bessel; bessel domain ... See more keywords