Results 31 to 40 of about 160 (141)
Sonine Transform Associated to the Dunkl Kernel on the Real Line
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We consider the Dunkl intertwining operator V_α and its dual ^tV_α, we define and study the Dunkl Sonine operator and its dual on R. Next, we introduce complex powers of the Dunkl Laplacian Δ_α and establish inversion formulas for the Dunkl Sonine ...
Fethi Soltani
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Capacity and the Corresponding Heat Semigroup Characterization from Dunkl-Bounded Variation
Fractal and Fractional, 2021 In this paper, we study some important basic properties of Dunkl-bounded variation functions. In particular, we derive a way of approximating Dunkl-bounded variation functions by smooth functions and establish a version of the Gauss–Green Theorem.
Xiangling Meng, Yu Liu, Xiangyun Xie
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The space of Dunkl monogenics associated with Z23
Nuclear Physics B, 2022 The universal Bannai–Ito algebra BI is a unital associative algebra over C generated by X,Y,Z and the relations assert that each of{X,Y}−Z,{Y,Z}−X,{Z,X}−Y commutes with X,Y,Z. Let n≥0 denote an integer.
Hau-Wen Huang
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Advances in Mathematical Physics, 2022 In this paper, we establish some new generalized results on the equivalence of K-functionals and modulus of continuity of functions defined on the Sobolev space Lα,β2ℝ, by using the harmonic analysis related to the Jacobi-Dunkl operator Δα,β, where α≥β ...
Ali El Mfadel +2 more
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The Dunkl intertwining operator
Journal of Functional Analysis, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maslouhi, M., Youssfi, E.H.
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, 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.
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Karpatsʹkì Matematičnì Publìkacìï, 2014 Using a generalized Dunkl translation, we obtain an analog of Theorem 5.2 in Younis' paper [2] for the Dunkl transform for functions satisfying the $(\delta, \gamma)$-Dunkl Lipschitz condition in the space $\mathrm{L}^{2}(\mathbb{R}, |x|^{2\alpha+1}dx)$.}
M. El Hamma, H. Lahlali, R. Daher
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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 +9 more
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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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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 +2 more
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