Results 91 to 100 of about 2,417,266 (139)

Sharper uncertainty principle and Paley–Wiener theorem for the Dunkl transform

Mathematical methods in the applied sciences, 2021
In this paper, we strengthen the results of the uncertainty principle established by M. Rösler and M. Voit and the real Paley–Wiener theorem established by N. B. Anderson and M. de Jeu for the Dunkl transform on the real line.
Minggang Fei, Qian Wang, Lan Yang
semanticscholar   +1 more source

Boas conjecture on the axis for the Fourier–Dunkl transform and its generalization

Чебышевский сборник, 2023
The question of integrability of the Fourier transform and other integral transformations ℱ(𝑓) on classes of functions in weighted spaces 𝐿𝑝(R𝑑) is a fundamental problem of harmonic analysis. The classical Hausdorff–Young result says that if a function 𝑓
Dmitry Viktorovich Gorbachev
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Real Paley–Wiener theorems for the linear canonical Dunkl transform

Annals of Functional Analysis
We examine the Sobolev space associated with the linear canonical Dunkl transform and explore some properties of the linear canonical Dunkl operators.
S. Umamaheswari, Sandeep Kumar Verma, H. Mejjaoli   +2 more
semanticscholar   +1 more source

Uncertainty Inequalities for the Linear Canonical Dunkl Transform

Mathematics
The aim of this paper is to show some uncertainty inequalities for the linear canonical Dunkl transform (LCDT), including sharp Heisenberg-type, entropic-type, logarithmic-type, Donoho–Stark-type and local-type uncertainty principles.
Saifallah Ghobber, H. Mejjaoli
semanticscholar   +1 more source

Boundedness of Dunkl–Riesz transforms on Dunkl–Besov spaces

Illinois Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Ming-Yi, Lin, Chin-Cheng, Ooi, Keng Hao   +2 more
openaire   +1 more source

Solution of Integral Equations by Dunkl and Distributional Dunkl Transform

Journal of the Indian Mathematical Society, 2018
The paper investigates the Dunkl transform and distributional Dunkl transform and the basic properties as convolution. The integral equations such as Volterra integral equation of first and second kind and Abel integral equation are solved by using dunkl transform.
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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 in by using Dunkl-Hermite semigroup.
Partha Sarathi Patra, Venku Naidu Dogga
semanticscholar   +1 more source

Dunkl transforms and Dunkl convolutions on functions and distributions with restricted growth

Mathematische Nachrichten, 2009
AbstractIn this paper we investigate Dunkl transforms and Dunkl convolutions on R in some spaces of functions and distributions with exponential growth introduced by Hasumi [12] (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Betancor, Jorge J., Molina, Sandra M., Rodríguez-Mesa, Lourdes   +2 more
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The intertwining operator for the generalized Dunkl transform on the line

Чебышевский сборник
In harmonic analysis on a line with power weight, the unitary Dunkl transform first appeared.It depends on only one parameter 𝑘 ⩾ 0. Then the two-parameter (𝑘, 𝑎)-generalized Fourier transform appeared, a special case of which is the Dunkl transform (𝑎 =
Valerii Ivanovich Ivanov
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On Schrödinger Oscillatory Integrals Associated with the Dunkl Transform

Journal of Fourier Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhongkai, Zhang, Xiaoliang
openaire   +2 more sources