HEISENBERG–PAULI–WEYL UNCERTAINTY INEQUALITY FOR THE DUNKL TRANSFORM ON ℝd

DOI10.1017/S0004972712000780zbMath1321.42022OpenAlexW2152912134MaRDI QIDQ4914602

Fethi Soltani

Publication date: 15 April 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972712000780

zbMATH Keywords

Dunkl transformHeisenberg-Pauli-Weyl uncertainty principlelocal uncertainty principleglobal uncertainty principle

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (9)

Uncertainty principles for the Dunkl-Wigner transforms ⋮ Hankel-type Segal-Bargmann transform and its applications to UP and PDEs ⋮ Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform ⋮ Uncertainty principles and extremal functions for the Dunkl \(L^2\)-multiplier operators ⋮ Analytical and numerical approximation formulas on the Dunkl-type Fock spaces ⋮ Uncertainty principles for the Dunkl-type Segal-Bargmann transform ⋮ Unnamed Item ⋮ SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING ⋮ A variety of uncertainty principles for the Dunkl transform on ℝd

Cites Work

• The Dunkl transform
• The uncertainty principle: A mathematical survey
• Positivity of Dunkl's intertwining operator
• Inequalities and local uncertainty principles
• Integral Kernels with Reflection Group Invariance
• An uncertainty principle for the Dunkl transform

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