On the injectivity of the circular Radon transform arising in thermoacoustic tomography
英文摘要：
The circular Radon transform integrates a function over the set of all spheres with a given set of centers. The problem of injectivity of this transform (as well as inversion formulas, range descriptions, etc.) arises in many fields from approximation theory to integral geometry, to inverse problems for PDEs, and recently to newly developing types of tomography. The article discusses known and provides new results that one can obtain by methods that essentially involve only the finite speed of propagation and domain dependence for the wave equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
