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A Generalized Fourier Transform and a Smooth Analogue of Dunkl Operators [PDF]

open access: green
We introduce a deformation of the Fourier transform on $\mathbb{R}^N$ arising from a representation-theoretic construction associated with $\widetilde{SL}(2,\mathbb{R}) \times O(N)$ that still admits an underlying degree-one operator structure. More precisely, we construct a generalized Fourier transform $\mathcal{F}_b$, a non-local deformation $H_b ...
Temma Aoyama
  +4 more sources

Approximation of Phillips-operators on new parameters and via Dunkl analogue

open access: closedInternational Journal of Mathematics Trends and Technology, 2020
Ravi Kumar, Nasiruzzaman Md
openaire   +2 more sources

Approximating Properties of Generalized Dunkl Analogue of Szasz Operators

open access: closedApplied Mathematics & Information Sciences, 2016
M Mursaleen, Taqseer Khan, Nasiruzzaman
openaire   +2 more sources

Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials

Ramanujan Journal, 2021
Baghdadi Aloui, Jihad Souissi
exaly  

Approximation by Phillips operators via q-Dunkl generalization based on a new parameter

Journal of King Saud University - Science, 2021
Abdullah Alotaibi   +2 more
exaly  

The two-sided quaternionic dunkl transform and hardy’s theorem

Rendiconti Del Circolo Matematico Di Palermo, 2022
Mohamed Essenhajy, Said Fahlaoui
exaly  

Stancu‐type generalization of Dunkl analogue of Szász–Kantorovich operators

Mathematical Methods in the Applied Sciences, 2016
Gürhan İçöz, Bayram ÇEkim
exaly  

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