Results 21 to 30 of about 1,148 (183)

Bootstrapping Weighted Inequalities for Hankel Transform

Journal of Function Spaces and Applications, 2012
A method of producing new inequalities for Hankel transform from known ones is given using the theory of positive integral operators. The new inequalities produced depend on six parameters, two real indices, two complex-valued measures, and two positive ...
M. Dziri
doaj   +1 more source

On the Range of the Hankel and Extended Hankel Transforms

Journal of Mathematical Analysis and Applications, 1997
The Hankel transform is defined by \[ (H_\nu g)(x)= \int^\infty_0 \sqrt{xy} J_\nu (xy) g(x)dy,\;x>0 \] where \(J_\nu\) is the Bessel function of the first kind and \(\text{Re} \nu >-1\). The author describes here the range of \(H_\nu\) on some function spaces.
openaire   +1 more source

Multivariate and 2D Extensions of Singular Spectrum Analysis with the Rssa Package

Journal of Statistical Software, 2015
Implementation of multivariate and 2D extensions of singular spectrum analysis (SSA) by means of the R package Rssa is considered. The extensions include MSSA for simultaneous analysis and forecasting of several time series and 2D-SSA for analysis of ...
Nina Golyandina, Anton Korobeynikov, Alex Shlemov, Konstantin Usevich   +3 more
doaj   +1 more source

ESTIMATES FOR THE SECOND HANKEL–CLIFFORD TRANSFORM AND TITCHMARSH EQUIVALENCE THEOREM

Проблемы анализа
We obtain estimates of integrals containing the second Hankel–Clifford transforms of functions from Sobolev-Hankel– Clifford spaces. As a corollary, we obtain a new variant of Titchmarsh equivalence theorem for the second Hankel–Clifford transform.
S. S. Volosivets
doaj   +1 more source

Analytic representation of the distributional finite Hankel transform

International Journal of Mathematics and Mathematical Sciences, 1985
Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation ...
O. P. Singh, Ram S. Pathak
doaj   +1 more source

Review of CFD modelling techniques for single‐phase and multiphase flow in static mixers

The Canadian Journal of Chemical Engineering, EarlyView.
This review synthesizes computational fluid dynamics (CFD) approaches for static mixers, linking hydrodynamics to pressure drop, particle/droplet distributions, mixing metrics, and heat‐transfer performance to guide modelling choices and design decisions. Abstract Static mixers enable compact and low‐energy intensification.
Jussan Jaeger, Sálvio Lima de Carvalho Neto, Silvio Edegar Weschenfelder, Glaucia Rodrigues Vieira de Almeida da Fonseca, Maria de Fátima Rodrigues da Cunha, Selene Maria Arruda Guelli Ulson de Souza, Evandro Balestrin, Adriano da Silva   +7 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

Uncertainty Principles and Calderón’s Formula for the Multidimensional Hankel-Gabor Transform

Pan-American Journal of Mathematics
The main crux of this paper is to introduce a new integral transform called the multidimensional Hankel-Gabor transform and to give some new results related to this transform as Plancherel’s, Parseval’s, inversion and Calderón’s reproducing formulas ...
Ahmed Chana, Abdellatif Akhlidj
doaj   +1 more source

Cross‐Entropy of Power Spectral Density Function: A Modal Identification Framework

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT The power spectral density (PSD) function of measured structural response contains a significant amount of information, including the modal parameters (natural frequencies, damping ratios). Output‐only system identification or modal identification technique can be used for extracting such modal parameters from the measured response or its ...
Su‐Hong Kim, Jae‐Seung Hwang, Dae‐Kun Kwon, Ahsan Kareem   +3 more
wiley   +1 more source

Three‐Dimensional Optical Characterization of Magnetostrictive Deformation in Magnomechanical Systems

Laser &Photonics Reviews, EarlyView.
An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu, Jing Zhang, Jie Li, Rongguo Yang, Jiangrui Gao, Tiancai Zhang   +5 more
wiley   +1 more source