Abstract
Let f be a function in a Euclidean plane with compact support in a half disc H. The problem of reconstruction of the function from the data of its integrals over half circles A ⊂ H with centers at the diameter of H is studied. An explicit formula and a microlocal analysis of stability of the reconstruction are given.
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Communicated by Eric Todd Quinto
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Palamodov, V.P. Reconstruction from limited data of arc means. The Journal of Fourier Analysis and Applications 6, 25–42 (2000). https://doi.org/10.1007/BF02510116
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DOI: https://doi.org/10.1007/BF02510116