262,397 research outputs found
Reproducing kernels for Dunkl polyharmonic polynomials
No full textsummary:In this paper, we compute explicitly the reproducing kernel of the space of homogeneous polynomials of degree and Dunkl polyharmonic of degree , i.e. , , where is the Dunkl Laplacian and we study the convergence of the orthogonal series of Dunkl polyharmonic homogeneous polynomials
On Some Inequalities in Normed Linear Spaces
No full textUpper and lower bounds for the norm of a linear combination of
vectors are given. Applications in obtaining various inequalities for the quantities
||x/||x|| - y/||y|| || and ||x/||y|| - y/||x|| ||, where x and y are nonzero
vectors, that are related to the Massera-Schäffer and the Dunkl-Williams
inequalities are also provided. Some bounds for the unweighted Čebyšev functional
are given as well
Images of some functions and functional spaces under the Dunkl-Hermite semigroup
No full textsummary:We propose the study of some questions related to the Dunkl-Hermite semigroup. Essentially, we characterize the images of the Dunkl-Hermite-Sobolev space, and , , under the Dunkl-Hermite semigroup. Also, we consider the image of the space of tempered distributions and we give Paley-Wiener type theorems for the transforms given by the Dunkl-Hermite semigroup
A Cauchy-Pompeiu formula in super Dunkl-Clifford analysis
No full textsummary:Using a distributional approach to integration in superspace, we investigate a Cauchy-Pompeiu integral formula in super Dunkl-Clifford analysis and several related results, such as Stokes formula, Morera's theorem and Painlevé theorem for super Dunkl-monogenic functions. These results are nice generalizations of well-known facts in complex analysis
Dunkl-Gabor transform and time-frequency concentration
No full textsummary:The aim of this paper is to prove two new uncertainty principles for the Dunkl-Gabor transform. The first of these results is a new version of Heisenberg's uncertainty inequality which states that the Dunkl-Gabor transform of a nonzero function with respect to a nonzero radial window function cannot be time and frequency concentrated around zero. The second result is an analogue of Benedicks' uncertainty principle which states that the Dunkl-Gabor transform of a nonzero function with respect to a particular window function cannot be time-frequency concentrated in a subset of the form in the time-frequency plane . As a side result we generalize a related result of Donoho and Stark on stable recovery of a signal which has been truncated and corrupted by noise
Striking Variation in the Provenance of the Lower and Upper Cretaceous Turbidites in the Central Pontides (Northern Turkey) Related to the Opening of the Black Sea
No full textDunkl, I., Malis, F., Lünsdorf, N. K., Schönig, J., & von Eynatten, H. (2023). Zircon U-Pb-He double dating of modern sands from the Inn river catchment: Assessing resolution and potential in a complex orogenic setting. [Dataset] GRO.data. https://doi.org/10.25625/68FGZ2
No full textThis repository contains the Supporting Information to manuscript "Zircon U-Pb-He Double Dating of Modern Sands from the Inn River...
Low-temperature thermochronology data onshore Mauritania
No full textTo investigate the history of vertical movements in Mauritania, 22 samples were collected from the Precambrian crystalline basement, which sporadically outcrops 100 to 500 km east of the shoreline of the Atlantic margin. The large majority of the samples were taken from granitic intrusions exposed in the Reguibat Shield in the north and along the N-S trending Mauritanides belt
Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
No full textsummary:The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order
Triassic-Jurassic arc magmatism in the Pontides as revealed by the U-Pb detrital zircon ages in the Jurassic sandstones of northeastern Turkey
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