InhaltsangabePart I: Inverse and Semi-discrete Problems: Ill-posed Problems and Regularization Methods.- Approximate Inverse in L2-spaces.- Approximate Inverse in Hilbert Spaces.- Approximate Inverse in Distribution Spaces.- Conclusion and Perspectives.- Part II: Application to 3D Doppler Tomography.- A Semi-discrete Setup for Doppler Tomography.- Solving the Semi-discrete Problem.- Convergence and Stability.- Approaches for Defect correction.- Conclusion and Perspectives.- Part III: Application to the Spherical mean operator.- The Spherical Mean Operator.- Design of a Mollifier.- Computation of Reconstruction Kernels.- Numerical Experiments.- Conclusion and Perspectives.- Part IV: Further Applications.- Approximate Inverse and X-ray Diffractometry.- A Filtered Backprojection Algorithm for Thermoacoustic Computerized Tomography (TCT).- Computation of Reconstruction Kernels in 3D Computerized Tomography.- Conclusion and Perspectives.- References.- Index.

1990 - 1995 Study of Mathematics at Saarland University Saarbrücken (Germany)1996 - 2004 Scientific assistant at Saarland University Saarbrücken (Germany)1999 PhD at Saarland University Saarbrücken (Germany)2002 - 2003 Research stay at Tufts University Medford, MA (USA)2004 Habilitation at Saarland University Saarbrücken (Germany)2004 - 2006 Assistant Professor at Saarland University Saarbrücken (Germany)2007 - today Associate Professor at the Helmut Schmidt University Hamburg (Germany)