Results 71 to 80 of about 2,908 (161)

Equivalence of the super Lax and local Dunkl operators for Calogero-like models

, 2004
Following Shastry and Sutherland I construct the super Lax operators for the Calogero model in the oscillator potential. These operators can be used for the derivation of the eigenfunctions and integrals of motion of the Calogero model and its ...
A I Neelov, Andrianov A A, Andrianov A A, Andrianov A A, Andrianov A A, Andrianov A A, Bordner A J, Brink L, Calogero F, Calogero F, Desrosiers P Lapointe L Mathieu P, Dunkl C F, Efthimiou C, Ghosh P, Hamermesh M, Inozemtsev V I Sasaki R, Ioffe M V, Ioffe M V, Khastgir S P, Komori Y, Komori Y, Lapointe L, Moser J, Nishino A, Nishino A, Pasquier V, Reed M, Ruhl W, Sutherland B, Sutherland B, Ujino H, Ujino H, Ujino H, Ujino H   +33 more
core   +2 more sources

Complex Dunkl operators

, 2009
The real theory of the Dunkl operators has been developed very extensively, while there still lacks the corresponding complex theory. In this paper we introduce the complex Dunkl operators for certain Coxeter groups. These complex Dunkl operators have the commutative property, which makes it possible to establish a corresponding complex analysis of ...
Ren, Guangbin, Malonek, Helmuth R.
openaire   +2 more sources

The Role of Transpressional Tectonics, Volcanism, and Fluvial Processes on the Oligocene to Pliocene Evolution of Intermontane Basins of the Western Colombian Andes

Tectonics, Volume 44, Issue 3, March 2025.
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, Claudio Faccenna, Ethan M. Conrad, Mauricio Parra, Andrés L. Cárdenas, Víctor A. Valencia   +5 more
wiley   +1 more source

An Analog of Titchmarsh's Theorem for the Jacobi-Dunkl Transform in the Space L2α,β(R)

International Journal of Analysis and Applications, 2015
In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem  for functions satisfying the Jacobi-Dunkl Lipschitz  condition in $ L^{2}(\R,A_{\alpha ,\beta}(t)dt), \alpha \geq \beta\geq-\frac{1}{2 ...
A. Abouelaz, A. Belkhadir, R. Daher
doaj   +2 more sources

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

The singular and the 2:1 anisotropic Dunkl oscillators in the plane

, 2013
Two Dunkl oscillator models are considered: one singular and the other with a 2:1 frequency ratio. These models are defined by Hamiltonians which include the reflection operators in the two variables x and y.
Genest, Vincent X., Vinet, Luc, Zhedanov, Alexei   +2 more
core   +1 more source

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

Laguerre semigroup and Dunkl operators [PDF]

Compositio Mathematica, 2012
AbstractWe construct a two-parameter family of actionsωk,aof the Lie algebra 𝔰𝔩(2,ℝ) by differential–difference operators on ℝN∖{0}. Herekis a multiplicity function for the Dunkl operators, anda>0 arises from the interpolation of the two 𝔰𝔩(2,ℝ) actions on the Weil representation ofMp(N,ℝ) and the minimal unitary representation of O(N+1,2). We prove
Ben Saïd, Salem, Kobayashi, Toshiyuki, Ørsted, Bent   +2 more
openaire   +3 more sources

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

Low‐temperature thermochronology and the timing of motion on detachment faults

Terra Nova, Volume 36, Issue 4, Page 306-314, August 2024.
Abstract Ios (an island in the Cycladic archipelago, Greece) was the first recognized Aegean metamorphic core complex. There is a paradoxical absence of an age jump in low‐temperature geochronology transects across the Ios Detachment Fault. This paper explains why this is so, by modelling the conductive response to detachment faulting.
Gordon Lister, Marnie Forster
wiley   +1 more source