Results 71 to 80 of about 728,042 (147)
Australian continental‐scale heavy mineral patterns track climate, weathering and erosion
ABSTRACT The heavy mineral cargo of sediment is influenced by a complex and variable overprint of climate and environmental processes acting on weathered crystalline basement sources. Here, a continental‐scale heavy mineral compositional dataset of 1315 surface sediment samples, analysed via automated mineralogy, from across Australia is utilized to ...
Maximilian Dröllner +4 more
wiley +1 more source
An uncertainty principle for the Dunkl transform [PDF]
This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝN. Its proof is based on expansions with respect to generalised Hermite functions.
openaire +2 more sources
A Fractional Laplacian and Its Extension Problem
ABSTRACT In this paper, we establish four equivalent characterizations of the fractional Laplacian operator (−‖x‖Δk)σ$$ {\left(-\left\Vert x\right\Vert {\Delta}_k\right)}^{\sigma } $$ with 0<σ<1$$ 0<\sigma <1 $$, in some class of functions on ℝd$$ {\mathbb{R}}^d $$.
Salem Ben Said, Selma Negzaoui
wiley +1 more source
Riesz transform and commutators in the Dunkl setting [PDF]
In this paper we characterise the optimal pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric and the Dunkl metric, where these two metrics are not equivalent.
Han, Yongsheng +3 more
core +1 more source
Hilbert transform on the Dunkl-Hardy Spaces
For $p>p_0=\frac{2\lambda}{2\lambda+1}$ with $\lambda>0$, the Hardy space $H_{\lambda}^p(\mathbb{R}_+^2)$ associated with the Dunkl transform $\mathcal{F}_\lambda$ and the Dunkl operator $D$ on the real line $\mathbb{R}$, where $D_xf(x)=f'(x)+\frac ...
Hu, ZhuoRan
core
Corrosion of zirconium‐based refractories in glass‐contact areas: Mechanisms and challenges
Abstract Zirconium‐based refractories are essential materials in the glass industry due to their outstanding properties including high refractoriness, good thermal shock resistance, and high corrosion resistance with respect to contact with the molten glass, making them suitable for use in critical parts of glass melting furnaces, such as the bottom ...
Cristian Perez Velasquez +2 more
wiley +1 more source
q-Analogue of the Dunkl Transform on the Real Line
[[abstract]]In this paper, we consider a q-analogue of the Dunkl operator on R, we dene and study its associated Fourier transform which is a q- analogue of the Dunkl transform.
Rym Bettaieb, Neji Bettaibi
core
ABSTRACT Exhumed high‐P/low‐T complexes are of paramount importance to directly access rocks that experienced subduction zone processes. However, the original tectono‐metamorphic fabrics are often partially obliterated by exhumation and later deformation, hindering our understanding of the processes occurring at depth.
Samuele Papeschi +4 more
wiley +1 more source
The multiplier of the interval [−1, 1] for the Dunkl transform of arbitrary order on the real line [PDF]
We study the boundedness of the multiplier of the interval (Formula presented.) for the Dunkl transform of order (Formula presented.) on weighted (Formula presented.) spaces, with (Formula presented.).
Varona, J.L. [0000-0002-2023-9946] +2 more
core +1 more source
Abstract We use new and published detrital zircon U‐Pb data (n > 10,000) from Oligocene‐Pliocene strata of intermontane basins of the western Colombian Andes and surrounding regions to study the evolution of sedimentary systems during the transition from arc collision/accretion to subduction.
Santiago León +5 more
wiley +1 more source

