An example of non-uniqueness for a generalized Radon transform

Author:

Boman Jan

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Reference17 articles.

1. [BG] I. N. Bernshtein and M. L. Gerver,A problem of integral geometry for a family of geodesics and the inverse kinematic problem of seismology (Russian), Dokl. Akad. Nauk SSSR243, No. 2 (1978), geophysics section, pp. 302–305, English translation in Doklady Earth Sciences Section.

2. [B1] J. Boman,Uniqueness theorems for generalized Radon transforms, inConstructive Theory of Functions '84, Sofia, 1984 pp. 173–176.

3. [B2] J. Boman,Helgason's support theorem for Radon transforms—a new proof and a generalization, inMathematical methods in Tomography, Proceedings of a conference held at Oberwolfach 1990, Springer Lecture Notes in Mathematics1497 (1991), 1–5.

4. [BQ1] J. Boman and E. T. Quinto,Support theorems for real-analytic Radon transforms, Duke Math. J.55 (1987), 943–948.

5. [BQ2] J. Boman and E. T. QuintoSupport theorems for Radon transforms on real-analytic line complexes in three-space, to appear in Trans. Amer. Math. Soc.

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