Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms
From MaRDI portal
Publication:259090
DOI10.1016/j.jat.2015.11.002zbMath1343.42007OpenAlexW2178175484MaRDI QIDQ259090
Publication date: 10 March 2016
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2015.11.002
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Summability in several variables (42B08) Orthogonal polynomials and functions associated with root systems (33C52)
Related Items
Translation operator and maximal function for the \((k,1)\)-generalized Fourier transform ⋮ Characterization of fractional maximal operator and its commutators on Orlicz spaces in the Dunkl setting ⋮ A product formula and a convolution structure for a \(k\)-Hankel transform on \(\mathbb{R}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cesàro means of orthogonal expansions in several variables
- Localization and summability of multiple Fourier series
- Riesz transform and Riesz potentials for Dunkl transform
- A transference theorem for the Dunkl transform and its applications
- The Dunkl transform
- Positivity of Dunkl's intertwining operator
- Maximal estimates for the Cesàro means of weighted orthogonal polynomial expansions on the unit sphere
- Convolution operator and maximal function for the Dunkl transform
- Boundedness of projection operators and Cesàro means in weighted 𝐿^{𝑝} space on the unit sphere
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
- A positive radial product formula for the Dunkl kernel
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Orthogonal Polynomials of Several Variables
