A UNIQUENESS RESULT FOR THE FOURIER TRANSFORM OF MEASURES ON THE SPHERE

DOI10.1017/S0004972711002942zbMath1248.42012MaRDI QIDQ2907023

Francisco Javier González Vieli

Publication date: 5 September 2012

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

zbMATH Keywords

Fourier transformspheremeasureHeisenberg uniqueness

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (9)

Heisenberg uniqueness pairs for the finitely many parallel lines with an irregular gap ⋮ Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\) ⋮ Heisenberg uniqueness pairs corresponding to a finite number of parallel lines ⋮ Revisit on Heisenberg uniqueness pair for the hyperbola ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ Heisenberg uniqueness pairs for some algebraic curves in the plane ⋮ A note on discrete Heisenberg uniqueness pairs for the parabola ⋮ Heisenberg uniqueness pairs for the hyperbola ⋮ Heisenberg uniqueness pairs on the Euclidean spaces and the motion group

Cites Work

• Heisenberg uniqueness pairs and a theorem of Beurling and Malliavin
• Uniqueness theorems for Fourier transforms
• Heisenberg uniqueness pairs and the Klein-Gordon equation
• Oscillatory integrals and spherical harmonics

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