An uncertainty principle for the Dunkl transform
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Publication:4260274
DOI10.1017/S0004972700033025zbMath0939.33012MaRDI QIDQ4260274
Publication date: 12 July 2000
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (38)
Hardy type uncertainty principles for fractional Hankel transform ⋮ Concentration operators in the Dunkl wavelet theory ⋮ Uncertainty principles for the Hankel transform ⋮ Time-frequency concentration and localization operators in the Dunkl setting ⋮ Phase space localized functions in the Dunkl setting ⋮ Uncertainty principles for the Dunkl-Wigner transforms ⋮ Pitt's inequality and logarithmic uncertainty principle for the Dunkl transform on \(\mathbb R\) ⋮ Mixed norm estimates for the Cesàro means associated with Dunkl–Hermite expansions ⋮ Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform ⋮ Linear canonical Hankel domain based Stockwell transform and associated Heisenberg's uncertainty principle ⋮ Uncertainty principles for the Clifford-Fourier transform ⋮ Uncertainty inequalities on Laguerre hypergroup ⋮ Heisenberg uncertainty principles for the Dunkl multipier operators ⋮ Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\) ⋮ Uncertainty principles and asymptotic behavior. ⋮ On a progress in the Kontorovich–Lebedev transform theory and related integral operators ⋮ Uncertainty principles and extremal functions for the Dunkl \(L^2\)-multiplier operators ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ Unnamed Item ⋮ Analytical and numerical approximation formulas on the Dunkl-type Fock spaces ⋮ Uncertainty principles for the Dunkl-type Segal-Bargmann transform ⋮ HEISENBERG–PAULI–WEYL UNCERTAINTY INEQUALITY FOR THE DUNKL TRANSFORM ON ℝd ⋮ Pitt's inequalities for the Dunkl transform on ℝd ⋮ Heisenberg-Pauli-Weyl uncertainty principle for the spherical mean operator ⋮ A priori \(L^2\)-error estimates for approximations of functions on compact manifolds ⋮ Dunkl-Stockwell transform and its applications to the time-frequency analysis ⋮ Some uncertainty Inequalities related to the multivariate Laguerre function ⋮ Generalized Fourier transforms \(\mathcal F_{k,a}\) ⋮ Uncertainty principles for the windowed Hankel transform ⋮ A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform ⋮ Uncertainty principles involvingL1-norms for the Dunkl transform ⋮ SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING ⋮ A variety of uncertainty principles for the Dunkl transform on ℝd ⋮ Dunkl-Gabor transform and time-frequency concentration ⋮ On a universality property of certain integral operators ⋮ Hardy's theorem and rotation for Dunkl transform ⋮ Weighted norm inequalities for the Opdam–Cherednik transform ⋮ Laguerre semigroup and Dunkl operators
Cites Work
- Unnamed Item
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- An uncertainty principle for integral operators
- Exact operator solution of the Calogero-Sutherland model
- Nonsymmetric Jack polynomials and integral kernels
- Uncertainty Principles and Signal Recovery
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- An uncertainty principle for Hankel transforms
- Exchange operator formalism for integrable systems of particles
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