Krzyz Conjecture: Theory And Methods, The
Language: English
Published by World Scientific Publishing Co Pte Ltd, SG, 2021
- Hardcover
- New

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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.…
Seller Inventory # LU-9789811226373
- Title
- Krzyz Conjecture: Theory And Methods, The
- Author
- Ronen Peretz (Ben-gurion Univ Of The Negev, Israel)
- Publisher
- World Scientific Publishing Co Pte Ltd, SG
- Publication year
- 2021
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 9811226377
- ISBN 13
- 9789811226373
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 Krzy conjecture. It includes topics on inner functions within the context of problems that are different from the Krzy 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.
"Synopsis" may belong to another edition of this title.
About the Author
Ronen Peretz is a full Professor of Mathematics, in the Mathematics Department of Ben Gurion University of the Negev in Beer Sheva, Israel. He served as the Head of the Mathematics Department, 2010–2015 and an associate editor for the journal of Complex Analysis and Operator Theory since 2013. He won ""The Wolf Prize"" for beginning researchers, 1988 and was granted ""The Rothschild Grant"", 1990. He was also awarded ""The Israel Security Prize"" (given by the president of Israel), 1984 and ""The Israel Security Medal"" (given by the defence minister of the state of Israel), 1990. He is the author of more than 40 refereed journal papers, of 4 book chapters and the author of a book titled The Asymptotic Variety of Polynomial Maps,2016. His research fields include Complex Analysis (in one complex variable), Extremal Problems (including coefficients problems), Geometric Function Theory, Entire Function and Shimizu Theory, Circle Packings, Algebraic Geometry ― In particular affine geometry, The Jacobian Conjecture in Dimension 2.
"About the title" may belong to another edition of this title.
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