Conical Uniqueness Sets for the Spherical Radon Transform
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Publication:4265920
DOI10.1112/S0024609398005396zbMath0935.44001OpenAlexW2026875953MaRDI QIDQ4265920
Lawrence Zalcman, Mark L. Agranovsky, Valery Vladimirovich Volchkov
Publication date: 9 May 2000
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024609398005396
Related Items (22)
Range descriptions for the spherical mean Radon transform ⋮ Non-harmonic cones are Heisenberg uniqueness pairs for the Fourier transform on \({\mathbb {R}}^n\) ⋮ Recovering functions from the spherical mean transform with limited radii data by expansion into spherical harmonics ⋮ Stationary sets for the wave equation in crystallographic domains ⋮ Analyticity on Curves ⋮ Harmonic divisors and rationality of zeros of Jacobi polynomials ⋮ Cauchy, Goursat and Dirichlet problems for holomorphic partial differential equations ⋮ Mathematics of thermoacoustic tomography ⋮ The Khavinson-Shapiro conjecture and polynomial decompositions ⋮ Two-radii theorems for quasi-analytic classes of functions on a sphere ⋮ A generalization of the Funk–Radon transform ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ Injectivity sets for spherical means on the Heisenberg group ⋮ Functions with vanishing integrals over spheres centered on cones ⋮ Quadratic divisors of harmonic polynomials in \(\mathbb{R}^n\) ⋮ Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ Real analytic expansion of spectral projections and extension of the Hecke-Bochner identity ⋮ Non-harmonic cones are sets of injectivity for the twisted spherical means on ℂⁿ ⋮ Recovering finite parametric distributions and functions using the spherical mean transform ⋮ The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces ⋮ Conic injectivity sets for the Radon transformation on spheres ⋮ Geometry of stationary sets for the wave equation in \(\mathbb R^n\): the case of finitely supported initial data
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