Results 51 to 60 of about 2,888 (114)
A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
, 2017 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
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Dunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We define and study Dunkl wavelets and the corresponding Dunkl wavelets transforms, and we prove for these transforms Plancherel and reconstruction formulas. We give as application the inversion of the Dunkl intertwining operator and its dual.
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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 +2 more
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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
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Causal Drivers of Land‐Atmosphere Carbon Fluxes From Machine Learning Models and Data
Journal of Geophysical Research: Biogeosciences, Volume 129, Issue 6, June 2024.Abstract Interactions among atmospheric, root‐soil, and vegetation processes drive carbon dioxide fluxes (Fc) from land to atmosphere. Eddy covariance measurements are commonly used to measure Fc at sub‐daily timescales and validate process‐based and data‐driven models.
Mozhgan A. Farahani, Allison E. Goodwell
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How to Quantify Heavy Mineral Fertility From Point‐Counting Data
Journal of Geophysical Research: Earth Surface, Volume 129, Issue 4, April 2024.Abstract Heavy minerals (HM) are widely used in provenance studies, for example, for reconstructing source areas and quantifying sediment budgets. Source rock mineral fertility influences the composition and concentration of HM in sediments. The resulting bias is of particular interest when interpreting single‐grain data such as detrital age ...
L. Stutenbecker +7 more
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Journal of Geophysical Research: Earth Surface, Volume 129, Issue 3, March 2024.Abstract Heavy‐mineral assemblages of sediments and sedimentary rocks record information regarding provenance, including the source rocks involved, tectonic setting, climatic conditions, and modifications from source to sink. Drawing conclusions on provenance and provenance changes requires robust quantification of individual heavy‐mineral species ...
Jan Schönig
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Paley-Wiener theorems for the Dunkl transform
, 2005 We conjecture a geometrical form of the Paley-Wiener theorem for the Dunkl transform and prove three instances thereof, one of which involves a limit transition from Opdam's results for the graded Hecke algebra.
de Jeu, Marcel
core
Orthogonal Symmetric Polynomials Associated with the Calogero Model
, 1997 The Calogero model is a one-dimensional quantum integrable system with inverse-square long-range interactions confined in an external harmonic well. It shares the same algebraic structure with the Sutherland model, which is also a one-dimensional quantum
Calogero F. +12 more
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SPECTRAL THEOREMS ASSOCIATED TO THE DUNKL OPERATORS
Korean Journal of Mathematics, 2016 Summary: In this paper, we characterize the support for the Dunkl transform on the generalized Lebesgue spaces via the Dunkl resolvent function. The behavior of the sequence of \(L^p_k-\) norms of iterated Dunkl potentials is studied depending on the support of their Dunkl transform.
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