Qualitative uncertainty principle on certain Lie groups
From MaRDI portal
Publication:6538793
DOI10.1017/s1446788723000150zbMath1547.43003MaRDI QIDQ6538793
R. K. Srivastava, Debkumar Giri, Arup Chattopadhyay
Publication date: 14 May 2024
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Fourier transformHeisenberg groupHermite functionsqualitative uncertainty principleBenedick's theorem
Convolution as an integral transform (44A35) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80)
Cites Work
- Unnamed Item
- Unnamed Item
- Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups
- On Fourier transforms of functions supported on sets of finite Lebesgue measure
- Functions and their Fourier transforms with supports of finite measure for certain locally compact groups
- Hypoellipticite analytique sur des groupes nilpotents de rang 2
- Bounded \(K\)-spherical functions on Heisenberg groups
- On support properties of Lsup(p)-functions and their Fourier transforms
- Proof of a conjecture on the supports of Wigner distributions
- Matrix coefficients and a Weyl correspondence for nilpotent Lie groups
- The uncertainty principle: A mathematical survey
- Harmonic analysis on the Heisenberg group
- An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
- Singular spherical maximal operators on a class of two step nilpotent Lie groups
- Uncertainty principles on certain Lie groups
- Benedicks' theorem for the Weyl transform
- Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups
- UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
- Benedicks’ theorem for the Heisenberg group
- On theorems of Beurling and Hardy for certain step two nilpotent groups
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
- Principe d'incertitude qualitatif et reconstruction de phase pour la transformée de Wigner
- A Qualitative Uncertainty Principle for Unimodular Groups of Type I
- Hardy's Uncertainty Principle on Certain Lie Groups
- Uncertainty principles on two step nilpotent Lie groups
- Benedicks–Amrein–Berthier theorem for the Heisenberg motion group
This page was built for publication: Qualitative uncertainty principle on certain Lie groups