Results 41 to 50 of about 497,921 (244)
Fractional powers of bessel operator and its numerical calculation [PDF]
, 2021 The article discusses the fractional powers of the Bessel operator and their numerical implementation. An extensive literature is devoted to the study of fractional powers of the Laplace operator and their ...
Shishkina, E. I. +2 more
core
Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator [PDF]
, 2006 We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn -
Hasanov, Javanshir, Guliyev, Vagif
core +1 more source
Nonparaxial accelerating Bessel-like beams [PDF]
, 2013 A new class of nonparaxial accelerating optical waves is introduced. These are beams with a Bessel-like profile that are capable of shifting laterally along fairly arbitrary trajectories as the wave propagates in free space.
Chremmos, Ioannis +5 more
core +1 more source
European Journal of Pure and Applied Mathematics, 2018 In this paper, we study the Bessel operator $\odot_{B}^{t}$, iterated $t$-times and denote by $$\odot_{B}^{t}= \left(\left(B_{a_{1}}+\cdots+B_{a_{p}}+m^{2}\right)^{2} - \left(B_{a_{p+1}}+\cdots+B_{a_{p+q}}\right)^{2}\right)^{t} \nonumber\\$$where $p+q=n, B_{a_i}=\frac{\partial^2}{\partial a_{i}^2}+\frac{2v_i}{a_i}\frac{\partial}{\partial a_{i}}, 2v_i=2\
openaire +3 more sources
Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces
International Journal of Differential Equations, 2023 The boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators ...
Saba Mehmood +3 more
doaj +1 more source
A Quantum Wavelet Uncertainty Principle
Fractal and Fractional, 2021 In the present paper, an uncertainty principle is derived in the quantum wavelet framework. Precisely, a new uncertainty principle for the generalized q-Bessel wavelet transform, based on some q-quantum wavelet, is established. A two-parameters extension
Sabrine Arfaoui +2 more
doaj +1 more source
LLM‐Integrated Human–Robot Interaction System for Microrobots
Advanced Robotics Research, EarlyView.This paper proposes an LLM‐based control framework for guiding microrobots using human natural language. This framework can convert the natural human speech into safe and executable command sets for reliable navigation in complex environments. The experimental results show high accuracy and robustness in task performance, demonstrating the potential of
Bairong Zhu, Amar Salehi, Tingting Yu
wiley +1 more source
FOURIER-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE LP [PDF]
, 2016 In this paper, we obtain an analog of Youniss Theorem 5.2 in [5] forthe generalized Fourier-Bessel transform on the real line for functions satisfying the Fourier-Bessel Lipschitz condition in the space ...
Daher, Radouan +2 more
core
Современные информационные технологии и IT-образованиеThe results related to the restoration of functions in weight spaces from incomplete spectral data are presented. In this regard, the problem of reconstructing the singular elliptic Laplace-Bessel operator and its degrees of the function from the Fourier-
Alexey Skrypnikov +2 more
doaj +1 more source
Neural Fields for Highly Accelerated 2D Cine Phase Contrast MRI
Advanced Science, EarlyView.ABSTRACT 2D cine phase contrast (CPC) MRI provides quantitative information on blood velocity and flow within the human vasculature. However, data acquisition is time‐consuming, motivating the reconstruction of the velocity field from undersampled measurements to reduce scan times. In this work, neural fields are proposed as a continuous spatiotemporal
Pablo Arratia +7 more
wiley +1 more source