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November  2014, 8(4): i-ii. doi: 10.3934/ipi.2014.8.4i

Foreword

Sarah Hamilton 1, , Kim Knudsen 2, , Samuli Siltanen 3, and  Gunther Uhlmann 4,

1. 

Department of Mathematics, Statistics and Computer Science, Marquette University, P.O. Box 1881, Milwaukee WI 53201-1881
2. 

Danmarks Tekniske Universitet, Department of Applied Mathematics and Computer Science, Matematiktorvet, Building 303 B, DK - 2800 Kgs. Lyngby
3. 

Department of Mathematics and Statistics, P.O. Box 68, 00014 University of Helsinki
4. 

Department of Mathematics, C-449 Padelford Hall, Box 354350, Seattle, Washington 98195-4350

Published  November 2014

Complex Geometrical Optics (CGO) solutions have, for almost three decades, played a large role in the rigorous analysis of nonlinear inverse problems. They have the added bonus of also being useful in practical reconstruction algorithms. The main benefit of CGO solutions is to provide solutions in the form of almost-exponential functions that can be used in a variety of ways, for example for defining tailor-made nonlinear Fourier transforms to study the unique solvability of a nonlinear inverse problem.

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Citation: Sarah Hamilton, Kim Knudsen, Samuli Siltanen, Gunther Uhlmann. Foreword. Inverse Problems & Imaging, 2014, 8 (4) : i-ii. doi: 10.3934/ipi.2014.8.4i
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