Harmonic and Complex Analysis and its Applications

Buch | Softcover

VIII, 358 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-37887-9 (ISBN)

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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.

L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions.- F. Bracci, M.D. Contreras, S. Díaz-Madrigal,A. Vasil'ev: Classical and stochastic Löwner-Kufarev equations.- M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics.- H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces.- S.J. Gardiner, T. Sjödin: Quadrature domains and their two-phase counterparts.- B. Gustafsson: Exponential transforms, resultants and moments.- M. Schlichenmaier: From the Virasoro Algebra to Krichever-Novikov Type Algebras and Beyond.

Erscheinungsdatum	29.08.2016
Reihe/Serie	Trends in Mathematics
Zusatzinfo	VIII, 358 p. 47 illus., 11 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Schlagworte	Algebra • atomic decomposition • Bergman spaces • Commutative rings and algebras • Complex analysis, complex variables • conformal map • fluid mechanics • Functional Analysis • Functional analysis and transforms • Functions of a Complex Variable • mathematics and statistics • non-associative rings and algebras • Potential Theory • quadrature domain • Signal Processing • stochastics
ISBN-10	3-319-37887-2 / 3319378872
ISBN-13	978-3-319-37887-9 / 9783319378879
Zustand	Neuware