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    STUDIA MATHEMATICA - Issue no. 1 / 2016  
         
  Article:   BOOK REVIEW: DANIEL ALPAY, AN ADVANCED COMPLEX ANALYSIS PROBLEM BOOK. TOPOLOGICAL VECTOR SPACES, FUNCTIONAL ANALYSIS, AND HILBERT SPACES OF ANALYTIC FUNCTIONS, BIRKHÄUSER/SPRINGER, NEW YORK, NY 2015, IX+525 P., ISBN 978-3-319-16058-0/PBK.

Authors:  ŞTEFAN COBZAŞ. 		 
       
         
  Abstract:  The aim of this book is to fill in this gap, i.e. to get students familiar with some notions of functional analysis in the context of spaces of analytic functions, based on the unifying idea of reproducing kernel Hilbert space. By an adequate choice of the reproducing kernel one obtains the basic spaces of analytic functions: the Bargmann-Segal-Fock space, the Bergman space and the Hardy space. Besides the analytic description a geometric one is considered as well.  
         
     
         
         
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