Results 91 to 100 of about 1,096,865 (195)

Particle transport along the circular trajectory of a semi-infinite Bessel acoustic beam

New Journal of Physics
We explored the propagation of semi-infinite accelerating Bessel beams along circular trajectories beyond the paraxial approximation. Until now, the complex nature of these beams has posed a challenge for the development of construction methods ...
Qinxin Zhou, Xuemei Ren, Yubo Shi, Zheng Xu   +3 more
doaj   +1 more source

A High-Frequency Uncertainty Principle for the Fourier-Bessel Transform

Journal of Fourier Analysis and Applications
Abstract Motivated by problems in control theory concerning decay rates for the damped wave equation $$\begin{aligned} w_{tt}(x,t) + \gamma (x) w_t(x,t) + (-\Delta + 1)^{s/2} w(x,t) = 0, \end{aligned}$$
Benjamin Jaye, Rahul Sethi
openaire   +2 more sources

On some uncertainty principles for the multidimensional Fourier-Bessel transform

Open Journal of Mathematical Analysis
The multidimensional Fourier-Bessel transform is a generalization of Fourier-Bessel transform that obeys the same uncertainty principles as the classical Fourier transform. In this paper, we establish the following uncertainty principles; an -version of Morgan’s theorem, the Donoho-Stark uncertainty principles and bandlimited principles of ...
Fatima Elgadiri, Abdellatif Akhlidj
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Relating multipliers and transplantation for Fourier-Bessel expansionsand Hankel transform

Proved are transference results that show connections between: a) multipliers for the Fourier-Bessel series and multipliers for the Hankel transform; b) maximal operators defined by Fourier-Bessel multipliers and maximal operators given by Hankel ...
Stempak, Krzysztof, Betancor, Jorge J.
core  

Convolution structure of the Bessel transform and the generalization of a theorem of Watson.

, 2010
For the Bessel integral transform (also called the Hankel transform), we derive Watson's theorem, generalizing the corresponding result for the Fourier-cosine-transform.
Lasser, R., Heymann, F., R. Lasser, F. Heymann   +3 more
core   +1 more source

On the solution of n-dimensional and the Fourier Bessel transform of the operator ⊗Bk

Computers & Mathematics with Applications, 2011
AbstractIn this paper, we consider the solution of equation ⊗Bku(x)=∑r=0mcr⊗Brδ where ⊗Bk is the otimes operator iterated k times and is defined by ⊗Bk=((∑i=1pBxi)3−(∑j=p+1p+qBxi)3)k, where p+q=n,Bxi=∂2∂xi2+2vixi∂∂xi, 2vi=2αi+1,αi>−12, i=1,2,3,…,n and n is the dimension of the Rn+, and k=0,1,2,3,…,cr is a constant.
openaire   +1 more source

Potential operators associated with Jacobi and Fourier-Bessel expansions

, 2015
We study potential operators (Riesz and Bessel potentials) associated with classical Jacobi and Fourier-Bessel expansions. We prove sharp estimates for the corresponding potential kernels. Then we characterize those 1≤. p, q≤.
Nowak, A., Roncal, L [0000-0003-0852-3677], Roncal, L   +2 more
core   +1 more source

A equação de kepler por Bessel e Fourier [PDF]

, 2004
TCC (graduação) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Curso de Matemática.Três nomes muito importantes da história da humanidade aparecem no título deste trabalho.
Behling, Roger
core  

Fourier-Bessel Transform [PDF]

, 2001
openaire   +1 more source

Anisotropy-driven reshaping and diagnostic limits of high-charge perfect optical vortices. [PDF]

Sci Rep
Pandey Y, Kumar R, Bisht NS.
europepmc   +1 more source