Results 51 to 60 of about 1,609 (94)

Orthogonal Laurent Polynomials of Two Real Variables

Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.
ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
wiley   +1 more source

Dunkl convolution and elliptic regularity for Dunkl operators

Mathematische Nachrichten, Volume 297, Issue 12, Page 4416-4436, December 2024.
Abstract We discuss in which cases the Dunkl convolution u∗kv$u*_kv$ of distributions u,v$u,v$, possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions.
Dominik Brennecken
wiley   +1 more source

Continuous −1$-1$ hypergeometric orthogonal polynomials

Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.
Abstract The study of −1$-1$ orthogonal polynomials viewed as q→−1$q\rightarrow -1$ limits of the q$q$‐orthogonal polynomials is pursued. This paper presents the continuous polynomials part of the −1$-1$ analog of the q$q$‐Askey scheme. A compendium of the properties of all the continuous −1$-1$ hypergeometric polynomials and their connections is ...
Jonathan Pelletier, Luc Vinet, Alexei Zhedanov   +2 more
wiley   +1 more source

The Thermal Evolution of Western Norway Based on Multi‐Sample Models of an Elevation Transect: Implications for the Formation of High‐Elevation Low‐Relief Surfaces on an Elevated Rifted Continental Margin

Geochemistry, Geophysics, Geosystems, Volume 25, Issue 5, May 2024.
Abstract The post‐Caledonian thermal and geomorphological evolution of onshore Western Norway is poorly understood, including the formation and age of the high‐elevation low‐relief surfaces seen across the Norwegian landscape. We present new apatite fission track (AFT) and (U‐Th‐Sm)/He analyses from an elevation transect (ET) covering ∼1,800 m vertical
Å. Hestnes, D. Gasser, R. Ketcham, I. Dunkl, A. K. Ksienzyk, T. Scheiber, H. Sirevaag, J. Jacobs   +7 more
wiley   +1 more source

Bilinear biorthogonal expansions and the Dunkl kernel on the real line

Expositiones Mathematicae, 2012
We study an extension of the classical Paley-Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions. The structure includes both sampling expansions and Fourier-Neumann type series as special cases, and it also provides a bilinear expansion for the Dunkl kernel (in the rank 1 case ...
Abreu, L.D., Ciaurri, T., Varona, J.L.
openaire   +4 more sources

Age, Kinematic and Thermal Constraints of Syn‐Orogenic Low‐Temperature Deformation Events: Insights From Thermochronology and Structural Data of the Nekézseny Thrust (Alpine‐Carpathian‐Dinaric Area)

Tectonics, Volume 43, Issue 4, April 2024.
Abstract Unraveling the age and kinematics of low temperature deformation events is crucial in understanding the late‐stage evolution of orogens. However, accurate age constraints can often be challenging to obtain due to unideal outcrop conditions, large sedimentary hiatuses or the lack of well‐defined thermal events.
Éva Oravecz, Zsolt Benkó, Róbert Arató, István Dunkl, Gábor Héja, Szilvia Kövér, Tibor Németh, László Fodor   +7 more
wiley   +1 more source

Heavy‐Mineral Grain Counting: Counting Techniques, Error Estimation, and the Number of Grains to be Counted

Journal of Geophysical Research: Earth Surface, Volume 129, Issue 3, March 2024.
Abstract Heavy‐mineral assemblages of sediments and sedimentary rocks record information regarding provenance, including the source rocks involved, tectonic setting, climatic conditions, and modifications from source to sink. Drawing conclusions on provenance and provenance changes requires robust quantification of individual heavy‐mineral species ...
Jan Schönig
wiley   +1 more source

Multivariable Al-Salam & Carlitz Polynomials Associated with the TypeA q-Dunkl Kernel

Mathematische Nachrichten, 2000
The Al-Salam & Carlitz polynomials are $q$-generalizations of the classical Hermite polynomials. Multivariable generalizations of these polynomials are introduced via a generating function involving a multivariable hypergeometric function which is the $q$-analogue of the type-$A$ Dunkl integral kernel.
Baker, T. H., Forrester, P. J.
openaire   +3 more sources

A note on commutators of singular integrals with BMO and VMO functions in the Dunkl setting

Mathematische Nachrichten, Volume 297, Issue 2, Page 629-643, February 2024.
Abstract On RN$\mathbb {R}^N$ equipped with a root system R, multiplicity function k≥0$k \ge 0$, and the associated measure dw(x)=∏α∈R|⟨x,α⟩|k(α)dx$dw(\mathbf {x})=\prod _{\alpha \in R}|\langle \mathbf {x},\alpha \rangle |^{k(\alpha )}\,d\mathbf {x}$, we consider a (nonradial) kernel K(x)${K}(\mathbf {x})$, which has properties similar to those from ...
Jacek Dziubański, Agnieszka Hejna
wiley   +1 more source

Dunkl-spherical maximal function [PDF]

, 2013
In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.Comment: 16 pages.
Jemai, Abdessattar
core