An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions

Prof. Daniel Alpay is a faculty member of the department of mathematics at Ben Gurion University, Beer Sheva, Israel. He is the incumbent of the Earl Katz Family chair in algebraic system theory. He has a double formation of electrical engineer (Telecom Paris, graduated 1978) and mathematician (PhD, Weizmann Institute, 1986). His research includes operator theory, stochastic analysis, and the theory of linear systems. Daniel Alpay is one of the initiators and responsible of the dual track electrical-engineering mathematics at Ben-Gurion University.

He is the author of A Complex Analysis Problem Book (Birkhauser, 2011). Together with co-authors, he has written four books and more than 220 research papers, and edited twelve books of research papers.

Title: An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions

Author: Alpay, Daniel

ISBN: 9783319160580

Binding:

Publisher: Birkhauser Verlag AG

Publication Date: 2015-11-19

Number of Pages: 521

Weight: 0.8938 kg

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. ... the book is dedicated to beginning graduate students aiming a specialization in complex analysis. Teachers of complex analysis will find some supplementary material here and those of functional analysis a source of concrete examples. (S. Cobzas, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 61 (1), 2016)