Results 51 to 60 of about 454,230 (160)
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Dirac Operators for the Dunkl Angular Momentum Algebra
We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent to the rational Cherednik algebra. We prove an analogue of Vogan's conjecture for this family of operators and use this to show that the Dirac cohomology, when non-zero ...
Calvert, Kieran, De Martino, Marcelo
openaire +6 more sources
International audienceThis note is devoted to the intertwining operator in the one–dimensional trigonometric Dunkl setting.
Anker, Jean-Philippe +1 more
core +1 more source
Multiphysics‐Driven Assembly of Biomimetic Vesicles
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 +16 more
wiley +1 more source
Markov Processes Related with Dunkl Operators
Dunkl operators are differential-difference operators associated with a finite reflection group, acting on some Euclidean space, and they can be regarded as a generalization of partial derivatives and play a major role in the theory of quantum many-body systems.
Rösler, Margit, Voit, Michael
openaire +2 more sources
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 +9 more
wiley +1 more source
TWO RESULTS ON THE DUNKL MAXIMAL OPERATOR
Some corrections made.International audienceIn this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general reflection group.
Luc Deleaval, Deleaval, Luc
core +1 more source
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 +2 more
wiley +1 more source
GENERALIZED DUNKL CONVOLUTION OPERATOR [PDF]
В работе рассматривается обобщенный оператор Данкла и его свойства. Изучается построенный по нему оператор свертки.The paper considers the generalized Dunkl operator and its properties.
Рахимова Алсу Ильдаровна +1 more
core
Some Remarks Concerning the Jacobi-Dunkl Transform in the Space Lp(R,Aα,β(t)dt)
In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh’s theorem for the Dunkl transform for functions satisfying the (φ,p)-Lipschitz Jacobi-Dunkl condition in the space Lp(R,Aα,β(t)dt),α ≥ β ≥−1/2,
R. Daher, S. El Ouadih, A. Belkhadir
doaj +2 more sources

