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A. Kirsch, “An Introduction to the Mathematical Theory of Inverse Problems,” 2nd Edition, Springer, Berlin, 2011.
http://dx.doi.org/10.1007/978-1-4419-8474-6

has been cited by the following article:

• TITLE: Logarithm of a Function, a Well-Posed Inverse Problem

  AUTHORS: Silvia Reyes Mora, Víctor A. Cruz Barriguete, Denisse Guzmán Aguilar

  KEYWORDS: Logarithm Function; Inverse Problem; Stability

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.4 No.1, January 22, 2014

  ABSTRACT: It poses the inverse problem that consists in finding the logarithm of a function. It shows that when the function is holomorphic in a simply connected domain , the solution at the inverse problem exists and is unique if a branch of the logarithm is fixed. In addition, it’s demonstrated that when the function is continuous in a domain , where is Hausdorff space and connected by paths. The solution of the problem exists and is unique if a branch of the logarithm is fixed and is stable; for what in this case, the inverse problem turns out to be well-posed.