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The 10th International Conference on Sampling Theory and Applications (SampTA 2013) took place 1 -5 July 2013 in Bremen, Germany. This volume, consisting of chapters written exclusively by invited speakers and session organizers, will be of interest to researchers and students studying phase retrieval, frame theory and compressed sensing, as well those working in more applied areas such as biomedical imaging and analog-to-digital conversion. A frequent challenge in mathematics, science and engineering is to reconstruct or approximate an object from seemingly incomplete information. Shannon's classical sampling theorem, which allows one to recover a band-limited function from values measured at a sufficiently high sampling rate, is a powerful and widely used tool that forms the foundation of sampling theory. Recent advances in phase retrieval, frame theory and compressed sensing have brought new life to this mature discipline.§
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