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Harmonic and complex analysis and its applications / [edited by] Alexander Vasilʹev.

Contributor(s): Material type: TextTextSeries: Trends in mathematicsPublication details: Switzerland : Springer, 2014.Description: viii, 358 p. : illustrations ; 24 cmISBN:
  • 9783319018058 (hbk.)
Subject(s): DDC classification:
  • 23 V334 515.2433
Contents:
Function spaces of polyanalytic functions.- Classical and stochastic Lowner-Kufarev equations.- The Schwarz Lemma. Rigidity and Dynamics.- Coorbit theory and Bergman spaces.- Quadrature domains and their two-phase counterparts.- Exponential transforms, resultants and moments.- From the Virasoro Algebra to Krichever-Novikov Type Algebras and Beyond.
Summary: 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.
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Function spaces of polyanalytic functions.-
Classical and stochastic Lowner-Kufarev equations.-
The Schwarz Lemma. Rigidity and Dynamics.-
Coorbit theory and Bergman spaces.-
Quadrature domains and their two-phase counterparts.-
Exponential transforms, resultants and moments.-
From the Virasoro Algebra to Krichever-Novikov Type Algebras and Beyond.

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.

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