Results 41 to 50 of about 1,096,865 (195)

The Fourier Transform on Quantum Euclidean Space

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
doaj   +1 more source

Kipriyanov-Katrakhov singular pseudodifferential operators

Современная математика: Фундаментальные направления
Singular pseudodifferential operators created on the base of the mixed Fourier–Bessel transform are usually called Kipriyanov singular pseudodifferential operators (SPDO). The paper provides an overview of three types of such operators.
L. N. Lyakhov, Yu. N. Bulatov, S. A. Roschupkin   +2 more
doaj   +1 more source

RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS

Проблемы анализа, 2023
Various issues related to restrictions on radii in meanvalue formulas are well-known in the theory of harmonic functions. In particular, using the Brown-Schreiber-Taylor theorem on spectral synthesis for motion-invariant subspaces in 𝐶(R^𝑛), one can ...
N. P. Volchkova, Vit. V. Volchkov
doaj   +1 more source

Seismic analysis and design of tunnels within fault ground: A review

Deep Underground Science and Engineering, EarlyView.
The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang, Yujing Jiang, Xuepeng Zhang, Yuyong Jiao, Ningbo Li, Xiao Wang, Bo Li   +6 more
wiley   +1 more source

Tuning Colloidal Stability and Photothermal Conversion Efficiency of Graphite Nanofluids via Anionic‐Nonionic Surfactant Engineering

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
Graphite nanofluids were stabilized using a mixed SDS/Tween 80 surfactant system. The optimized formulation exhibited enhanced colloidal stability, red‐shifted UV–Vis absorption, and improved photothermal conversion under solar irradiation. Achieving stable dispersion of graphite flakes (GFs) in aqueous media remains a critical challenge in developing ...
Ahmad Chehade, Shoaib Anwer, Md Islam, Eiyad Abu‐Nada   +3 more
wiley   +1 more source

Injectivity sets of the spherical mean operator with respect to the Bessel convolution [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Let $C_\natural$ be the set of all even continuous functions on the real axis, $E$ be a non-empty set on $(0,+\infty)$, $\mathcal{R} f(x,t)$ be the spherical mean of the function $f\in C_\natural$ with center at the point $x\in E$ and radius $t>0 ...
Krasnoschekikh, Gleb Vitalievich, Volchkov, Vitaliy Vladimirovich   +1 more
doaj   +1 more source

Diffraction‐Free Natural Optical Skyrmions and Their Subwavelength Confinement Around Vortices

Laser &Photonics Reviews, EarlyView.
ABSTRACT Diffraction causes waves to spread out as they propagate freely. The tighter the lateral confinement, the faster the spreading. Past research on how to suppress diffraction has been based on wave engineering and has led so far to idealized waves that, in real settings, eventually diffract.
Nilo Mata‐Cervera, Deepak K. Sharma, Ramon Paniagua‐Dominguez, Yijie Shen, Miguel A. Porras   +4 more
wiley   +1 more source

Error Estimates for Approximating the Fourier Transform of Functions of Bounded Variation [PDF]

, 2004
In this paper we point out an approximation for the Fourier transform for functions of bounded variation and study the approximation error of certain associated quadrature ...
Hanna, George T, Dragomir, Sever S, Barnett, Neil S   +2 more
core   +3 more sources

Green's function for the lossy wave equation

Revista Brasileira de Ensino de Física
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
doaj   +1 more source

Solution to unsteady fractional heat conduction in the quarter-plane via the joint Laplace-Fourier sine transforms

Journal of Numerical Analysis and Approximation Theory, 2021
In this article, the author implemented the joint transform method, for solving the boundary value problems of time fractional heat equation. The results reveal that the integral transform method is reliable and efficient. Illustrative examples are also
Arman Aghili
doaj   +1 more source