Stability and uniqueness for an integral geometry problem with a weight function
Z. Ustaoglu
article (Uluslararası, Hakemli) | Yazar(lar): Z. Ustaoglu | Yıl: 2015 | Dergi/Kurum: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | İndeks: WOS.SCI | DOI: 10.1016/j.jmaa.2015.04.001 | Anahtar Kelimeler: Integral geometry problem, Generalized Radon transform, Stability, Uniqueness — Özet: We consider the integral g
We consider the integral geometry problems including a weight function along the family of plane curves of given curvatures and prove a stability estimate and the uniqueness of the solution of these problems on the space of sufficiently smooth functions. Then, these stability and uniqueness results are investigated for the problems along the families of some special plane curves and some consequences are presented. (C) 2015 Elsevier Inc. All rights reserved.