Functions and their Fourier transforms with supports of finite measure for certain locally compact groups

DOI10.1016/0022-1236(88)90035-3zbMath0658.43003OpenAlexW2066238054MaRDI QIDQ1111115

John F. Price, Alladi Sitaram

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90035-3

zbMATH Keywords

Fourier transformPlancherel measureHeisenberg groupuncertainty principlelocally compact groupHaar measureintegrable functionunitary dualcompact Lie groupsgroup of Euclidean motions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items

Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\) ⋮ The uncertainty principle: A mathematical survey ⋮ Uncertainty principles on certain Lie groups ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ Some Localization Properties of the L^p Continuous Wavelet Transform ⋮ Benedicks’ theorem for the Heisenberg group ⋮ Heisenberg uniqueness pairs for some algebraic curves in the plane ⋮ The Helgason Fourier transform for semisimple Lie groups I: The Case of SL₂(ℝ) ⋮ Qualitative uncertainty principles for groups with finite dimensional irreducible representations ⋮ Local Uncertainty Inequalities for Locally Compact Groups ⋮ Some uncertainty inequalities

Cites Work

• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• On support properties of Lsup(p)-functions and their Fourier transforms
• On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
• Some Properties of the Fourier-Transform on Semisimple Lie Groups. III
• The support of functions and distributions with a spectral gap.
• Local Uncertainty Inequalities for Locally Compact Groups
• Sur l'analyse harmonique du groupe affine de la droite
• Spherical Functions Over -Adic Fields, II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item