Results 11 to 20 of about 728,042 (147)

Dunkl Translations, Dunkl-Type BMO Space, and Riesz Transforms for the Dunkl Transform on $$L^\infty$$ [PDF]

Functional Analysis and Its Applications, 2021
12 pages;accepted for publication in Functional Analysis and its Applications after some minor ...
Teng, Wentao
openaire   +4 more sources

Weighted Lp-Inequalities for the Dunkl Transform [PDF]

Journal of Mathematics, 2014
We give, for ...
Chokri Abdelkefi, Faten Rached
doaj   +2 more sources

Paley–Wiener theorems for the Dunkl transform [PDF]

Transactions of the American Mathematical Society, 2006
We conjecture a geometrical form of the Paley–Wiener theorem for the Dunkl transform and prove three instances thereof, by using a reduction to the one-dimensional even case, shift operators, and a limit transition from Opdam’s results for the graded Hecke algebra, respectively.
de Jeu, Marcel
openaire   +5 more sources

Dunkl-Gabor transform and time-frequency concentration [PDF]

Czechoslovak Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghobber, Saifallah
openaire   +4 more sources

Riesz transform and Riesz potentials for Dunkl transform

Journal of Computational and Applied Mathematics, 2007
Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.
Thangavelu, Sundaram, Xu, Yuan
openaire   +3 more sources

Dunkl Transform of the Generalized Hermite Polynomials

Axioms
We investigate the Fp,2 Dunkl transform of generalized Hermite polynomials (GHPs) and obtain their Fp,2 transform explicitly, reducing to the well-known Fourier transform when p=0.
Esra Çekirdek, Rabia Aktaş Karaman, Mohammad Masjed-Jamei   +2 more
doaj   +2 more sources

Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2 [PDF]

International Journal of Analysis and Applications, 2015
In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Dunkl transform in the space L2 on certainclasses of functions.
R. Daher, S. El Ouadih, M. El Hamma
doaj   +3 more sources

A Real Paley-Wiener Theorem for the Generalized Dunkl Transform [PDF]

International Journal of Analysis and Applications, 2015
In this article, we prove a real Paley-Wiener theorem for the generalized Dunkl transform on R.
A. Abouelaz, A. Achak, R. Daher, El. Loualid   +3 more
doaj   +3 more sources

MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR

Вестник КазНУ. Серия математика, механика, информатика, 2022
In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
doaj   +1 more source

Hardy's theorem and rotation for Dunkl transform

, 2021
We extend Hardy's theorem for rotation due to Lakey and Hogan for Dunkl transform associated with the reflection group (Formula presented.) in (Formula presented.) by using Dunkl-Hermite semigroup.
Dogga, Venku Naidu, Sarathi Patra, Partha   +1 more
core   +1 more source