Results 11 to 20 of about 1,609 (94)
Dunkl kernel associated with dihedral group
Journal of Mathematical Analysis and Applications, 2015 In this paper, we pursue the investigations started in \cite{Mas-You} where the authors provide a construction of the Dunkl intertwining operator for a large subset of the set of regular multiplicity values. More precisely, we make concrete the action of
Deleaval, Luc +2 more
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Sonine Transform Associated to the Dunkl Kernel on the Real Line [PDF]
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
doaj +5 more sources
A positive radial product formula for the Dunkl kernel [PDF]
Transactions of the American Mathematical Society, 2002 It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is
Rösler, Margit
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Potential kernels for radial Dunkl Laplacians [PDF]
Canadian Journal of Mathematics, 2021 AbstractWe derive two-sided bounds for the Newton and Poisson kernels of the W-invariant Dunkl Laplacian in the geometric complex case when the multiplicity $k(\alpha )=1$ i.e., for flat complex symmetric spaces. For the invariant Dunkl–Poisson kernel $P^{W}(x,y)$ , the estimates are $$ \begin{align*} P^{W}(x,y)\asymp \frac{P^{\mathbf{R}^{d}}(x,y)}{
Graczyk, P., Luks, T., Sawyer, P.
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Remarks on Dunkl Translations of Non-radial Kernels
Journal of Fourier Analysis and Applications, 2023 AbstractOn $$ {\mathbb {R}}^N$$ R N equipped with a root system R and a multiplicity function $$k>0$$ k > 0
Jacek Dziubański, Agnieszka Hejna
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Jacobi–Dunkl summation kernels
Indian Journal of Pure and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Geophysical Research: Earth Surface, Volume 128, Issue 11, November 2023., 2023 Abstract The Niger River drains a large part of the West African Craton, where rocks ranging in age from Paleoarchean to recent offer an unexcelled opportunity to map the diverse time structures of sediment sources and provide essential information for provenance diagnoses.
Guido Pastore +6 more
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Freezing limits for Calogero–Moser–Sutherland particle models
Studies in Applied Mathematics, Volume 151, Issue 4, Page 1230-1281, November 2023., 2023 Abstract One‐dimensional interacting particle models of Calogero–Moser–Sutherland type with N particles can be regarded as diffusion processes on suitable subsets of RN$\mathbb {R}^N$ like Weyl chambers and alcoves with second‐order differential operators as generators of the transition semigroups, where these operators are singular on the boundaries ...
Michael Voit
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Journal of Geophysical Research: Earth Surface, Volume 128, Issue 9, September 2023., 2023 Abstract Detrital geochronology employing the widely‐used zircon U‐Pb proxy is biased toward igneous events and metamorphic anatexis; additionally, zircon is highly refractory and frequently polycyclic. Garnet, a rock‐forming and thus commonly occurring mineral, is predominantly metamorphic and much less refractory.
Chris Mark +8 more
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Upper and lower bounds for the Dunkl heat kernel
Calculus of Variations and Partial Differential Equations, 2022 AbstractOn $$\mathbb R^N$$ R N equipped with a normalized root system R, a multiplicity function $$k(\alpha ) > 0$$ k ( α ) >
Dziubański, Jacek, Hejna, Agnieszka
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