scientific article; zbMATH DE number 7626853

DOI10.22034/kjm.2022.305501.2374MaRDI QIDQ5053399

Ajay Kumar, Jyoti Sharma

Publication date: 6 December 2022

Full work available at URL: https://arxiv.org/abs/1901.01676

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Fourier transformnilpotent Lie groupHardy's type theoremBeurling theoremcontinuous Gabor transform

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Other transforms and operators of Fourier type (43A32) Locally compact groups and their algebras (22D99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized analogs of the Heisenberg uncertainty inequality
• Beurling's theorem for nilpotent Lie groups
• Qualitative uncertainty principle for the Gabor transform on certain locally compact groups
• On theorems of Beurling and Hardy for the Euclidean motion groups
• On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups
• Beurling's theorem and \(L^p-L^q\) Morgan's theorem for step two nilpotent Lie groups
• A uniqueness theorem of Beurling for Fourier transform pairs
• Classes of nonabelian, noncompact, locally compact groups
• The uncertainty principle: A mathematical survey
• Uncertainty principles on certain Lie groups
• Continuous Gabor transform for a class of non-abelian groups
• Continuous spherical Gabor transform for Gelfand pair
• Beurling's theorem on the Heisenberg group
• Heisenberg uncertainty inequality for Gabor transform on nilpotent Lie groups
• On Hardy's uncertainty principle for solvable locally compact groups
• On Hardy's uncertainty principle for connected nilpotent Lie groups
• Heisenberg uncertainty inequality for Gabor transform
• A Course in Abstract Harmonic Analysis
• HARDY AND MIYACHI THEOREMS FOR HEISENBERG MOTION GROUPS
• HARDY’S THEOREM FOR GABOR TRANSFORM
• On theorems of Beurling and Hardy for certain step two nilpotent groups
• Heisenberg–Pauli–Weyl inequality for connected nilpotent Lie groups
• A Qualitative Uncertainty Principle for Certain Locally Compact Groups
• Heisenberg uncertainty inequality for certain Lie groups
• Groups with Finite Dimensional Irreducible Representations