The Fourier-Bessel transform [PDF]
, 2010 In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier.
De Schepper, Nele +2 more
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On estimates for the generalized Fourier-Bessel transform [PDF]
Proyecciones (Antofagasta), 2018 Two estimates useful in applications are proved for the generalized Fourier-Bessel transform in the space L2a,n as applied to some classes of functions characterized by a generalized modulus of continuity
Akhlidj, A., Daher, R., Hamma, M. El
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Beurling’S Theorem and Lp− Lqmorgan’S Theorem for the Generalized Bessel-Struve Transform [PDF]
International Journal of Analysis and Applications, 2016 The generalized Bessel-Struve transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling’s theorem and Lp− LqMorgan’s theorem obtained for the generalized Bessel-Struve transform.
A. Abouelaz +3 more
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A Reverse of the Cauchy-Bunyakovsky-Schwarz Integral Inequality for Complex-Valued Functions and Applications for Fourier Transform [PDF]
, 2004 A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are ...
Hanna, George T +2 more
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GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM [PDF]
International Journal of Mathematical Modelling & Computations, 2016 In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
S. El ouadih, R. Daher, M. El hamma
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Spatiotemporal Computational Meta-Imager for Broadband Dual-Layer Optical Convolution. [PDF]
Adv Sci (Weinh)A single‐layer polarization‐multiplexed meta‐imager achieves factorized dual‐layer broadband convolution via spatiotemporal kernel decomposition. Fixed Bessel‐vortex bases and time‐sequential liquid‐crystal modulation deliver tunable signed weights and in‐situ fabrication‐error compensation. Experiments verify improved classification performance across
Wang M +6 more
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On Derivatives, Riesz Transforms and Sobolev Spaces for Fourier–Bessel expansions [PDF]
Journal of Fourier Analysis and Applications, 2021 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 investigate Riesz transforms and Sobolev spaces in this context.
Bartosz Langowski, Adam Nowak
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A Wavelet Algorithm for Fourier-Bessel Transform Arising in Optics [PDF]
International Journal of Engineering Mathematics, 2015 The aim of the paper is to propose an efficient and stable algorithm that is quite accurate and fast for numerical evaluation of the Fourier-Bessel transform of order ν, ν>-1, using wavelets. The philosophy behind the proposed algorithm is to replace the part tf(t) of the integral by its wavelet decomposition obtained by using CAS wavelets thus ...
Irfan, Nagma, Siddiqi, A. H.
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An Application to Transient Current Signal based Induction Motor Fault Diagnosis of Fourier-Bessel Expansion and Simplified Fuzzy ARTMAP [PDF]
, 2013 The start-up transient signals have been widely used for fault diagnosis of induction motor because they can reveal early defects in the development process, which are not easily detected with the signals in the steady state operation. However, transient
Ball, Andrew +4 more
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Modelling one-dimensional elastic diffusion processes in an orthotropic solid cylinder under unsteady volumetric perturbations [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 A polar-symmetric elastic diffusion problem is considered for an orthotropic multicomponent homogeneous cylinder under uniformly distributed radial unsteady volumetric perturbations.
Andrei V Zemskov +2 more
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