Results 21 to 30 of about 2,888 (114)

On the Dunkl intertwining operator

Journal of Mathematical Analysis and Applications, 2017
Dunkl operators are differential-difference operators parametrized by a finite reflection group and a weight function. The commutative algebra generated by these operators generalizes the algebra of standard differential operators and intertwines with this latter by the so-called intertwining operator.
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Dunkl Operators: Theory and Applications [PDF]

, 2003
These lecture notes are intended as an introduction to the theory of rational Dunkl operators and the associated special functions, with an emphasis on positivity and asymptotics. We start with an outline of the general concepts: Dunkl operators, the intertwining operator, the Dunkl kernel and the Dunkl transform.
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On elliptic Dunkl operators

Michigan Mathematical Journal, 2008
We attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and Veselov in 1994. We show that these operators commute, and use them to define representations from category O of elliptic Cherednik algebras.
Etingof, Pavel, Ma, Xiaoguang
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Boundedness of Multidimensional Dunkl-Hausdorff Operators

Journal of Function Spaces, 2020
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator ℋκ∗ that is adjoint to ℋκ.
Radouan Daher, Faouaz Saadi
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The Dunkl-Coulomb problem in the plane [PDF]

, 2014
The Dunkl-Coulomb system in the plane is considered. The model is defined in terms of the Dunkl Laplacian, which involves reflection operators, with a $r^{-1}$ potential. The system is shown to be maximally superintegrable and exactly solvable.
Genest, Vincent X., Lapointe, Andréanne, Vinet, Luc   +2 more
core  

Multiphysics‐Driven Assembly of Biomimetic Vesicles

Advanced Materials, Volume 38, Issue 13, 3 March 2026.
Artificial extracellular vesicles, derived from cell membranes, are manufactured using a multiphysics‐integrated microfluidic platform that combines nanoknife membrane rupture, herringbone chaotic mixing, and acoustothermal modulation. This standardizable workflow enables the predictable control of vesicle formation and therapeutic loading, while ...
Timofei Solodko, Ian Gimino, Aastha Chandiwala, Bayan Alkotoub, Ali Bashiri Dezfouli, Heiko Reith, Asjad Bakhtiar, Rojda Hicsanmaz, Johann Brenner, Christoph J. O. Kaiser, Elena Belli, Shilpi Pandey, Samuel D. Rabkin, Kornelius Nielsch, Gabriele Multhoff, Oliver Hayden, Morteza Hasanzadeh Kafshgari   +16 more
wiley   +1 more source

Sobolev-type inequalities for Dunkl operators [PDF]

Journal of Functional Analysis, 2020
Section 6 significantly rewritten, also corrected some ...
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Chemical Discrimination of Rutile From Different Metamorphic Source Rocks: Dealing With Hierarchical Data Structures in Random Forest Classification

Journal of Metamorphic Geology, Volume 44, Issue 2, Page 112-137, February 2026.
ABSTRACT Rutile provides a wealth of petrochronological information in metamorphic geology and due to its high stability during processes of the sedimentary cycle, rutile takes a special position in sedimentary provenance analysis. Besides being one of the classical minerals datable using the U–Pb system, rutile incorporates a broad range of trace ...
Jan Schönig, Thomas Zack, Delia Rösel, Raimon Tolosana‐Delgado, Horst Marschall, Hilmar von Eynatten, Nils Keno Lünsdorf, Mona Lueder, Matthias Konrad‐Schmolke, Jesse B. Walters   +9 more
wiley   +1 more source

Facies control on provenance shift during the early Cambrian transgression in Korea: Detrital zircon and geochemical evidence

Sedimentology, Volume 73, Issue 2, Page 418-440, February 2026.
ABSTRACT The early Cambrian transgression that flooded continental margins worldwide produced extensive sedimentary records that archive valuable information about palaeogeography and basin dynamics. This study integrates detrital zircon U–Pb geochronology and wholerock geochemistry from the Myeonsan and Myobong formations of the basal Taebaek Group ...
Hyojong Lee, Taejin Choi, Jeong‐Hyun Lee   +2 more
wiley   +1 more source

Approximation and Orthogonality on Fully Symmetric Domains

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We study orthogonal polynomials on a fully symmetric planar domain Ω$\Omega$ that is generated by a certain triangle in the first quadrant. For a family of weight functions on Ω$\Omega$, we show that orthogonal polynomials that are even in the second variable on Ω$\Omega$ can be identified with orthogonal polynomials on the unit disk composed ...
Yuan Xu
wiley   +1 more source