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020 _a9783319018058
040 _cIIT Kanpur
041 _aeng
082 _a515.2433
_bH228
245 _aHarmonic and complex analysis and its applications
_cedited by Alexander Vasil' ev
260 _bSpringer
_c2014
_aSwitzerland
300 _aviii, 358p
440 _aTrends in mathematics
520 _aThis 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.
650 _aFunctions of complex variables
650 _aFunctional analysis
700 _aVasil' ev, Alexander [ed.]
942 _cBK
999 _c559854
_d559854