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Birkhäuser - Birkhäuser Mathematics | Harmonic and Complex Analysis and its Applications

Harmonic and Complex Analysis and its Applications

Vasil’ev, Alexander (Ed.)

2014, VIII, 358 p. 47 illus., 11 illus. in color.

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  • Representative collection of modern developments in the subject written by leading specialists and members of the Steering Committee of the HCAA network which united 27 universities and 51 senior researchers across the European Research Area
  • Acessible for both senior researchers and Ph.D. students
  • Highlights the results and perspectives of the future development created within the network and in collaboration with other analogous organizations  

This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Content Level » Research

Keywords » Bergman spaces - atomic decomposition - conformal map - fluid mechanics - quadrature domain - signal processing

Related subjects » Birkhäuser Mathematics

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