Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

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“This volume is based on lectures delivered at the International Conference ‘New trends in Harmonic and Complex Analysis’, held May 7-12, 2007 ... . results presented in this volume trace further developments of frontier research exploring the bridge between complex real analysis potential theory partial differential equations and modern topics of fluid mechanics and mathematical physics. The present volume will be of interest for specialists and graduate students in mathematics and mathematical physics. Many papers in this volume are surveys whereas others represent original research.” (L'Enseignement Math�matique, Vol. 56 (2), 2010)

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