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This book is about one of the beautiful topics in mathematics. It
describes an on-going research on bounded analytic functions which
are defined on the unit disc. This is a very active topic that
belongs to the theory of complex analysis in a single complex
variable. Complex analysis is one of the classical chapters in
Mathematics. It contains the analytic theory of functions, the
geometric function theory among other theoretical areas, as well as
many applications. Some applications originate in other fields of
mathematics: geometry, topology, arithmetic and number theory in
general, algebra etc. Other applications originate in other
scientific and engineering disciplines: physics, dynamical systems,
electrical engineering etc.The book includes much more than just a
review on the Krzyz conjecture. It includes topics on inner
functions within the context of problems that are different from
the Krzyz conjecture as well as other topics on general bounded
analytic functions. Progress in mathematical research is frequently
fuelled by efforts to solve open problems. The book also includes a
few important open problems and some partial solutions of these.
This volume presents selected contributions from experts gathered
at Chapman University for a conference held in November 2019 on new
directions in function theory. The papers, written by leading
researchers in the field, relate to hypercomplex analysis, Schur
analysis and de Branges spaces, new aspects of classical function
theory, and infinite dimensional analysis. Signal processing
constitutes a strong presence in several of the papers.A second
volume in this series of conferences, this book will appeal to
mathematicians interested in learning about new fields of
development in function theory.
This volume presents selected contributions from experts gathered
at Chapman University for a conference held in November 2019 on new
directions in function theory. The papers, written by leading
researchers in the field, relate to hypercomplex analysis, Schur
analysis and de Branges spaces, new aspects of classical function
theory, and infinite dimensional analysis. Signal processing
constitutes a strong presence in several of the papers.A second
volume in this series of conferences, this book will appeal to
mathematicians interested in learning about new fields of
development in function theory.
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