This book is an outgrowth of lectures given at several occasions at the University of Göteborg and Chalmers University of Technology during the last ten years. Contrary to most introductory texts on complex analysis, it preassumes knowledge of basic analysis. This makes it possible to move rather quickly through the most fundamental material and to reach within a one-semester course some classical highlights such as Fatou theorems and some Nevanlinna theory, as well as more recent topics, for example the corona theorem and the H1-BMO duality.
Topics in Complex Analysis
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Inside This Book
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First Sentence:
We identify C with R2 by identifying the complex number z = x + iy with the point (x, y) R2. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
corona theorem, interpolation sequence, disk with radius, inner function, punctured neighborhood, outer function, mean value property, subharmonic function, interpolation theorem, maximal function, removable singularity, isolated singularity, mapping theorem, essential singularity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Supplementary Exercises, Boundary Values of Harmonic Functions, Acta Math New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We identify C with R2 by identifying the complex number z = x + iy with the point (x, y) R2. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
corona theorem, interpolation sequence, disk with radius, inner function, punctured neighborhood, outer function, mean value property, subharmonic function, interpolation theorem, maximal function, removable singularity, isolated singularity, mapping theorem, essential singularity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Supplementary Exercises, Boundary Values of Harmonic Functions, Acta Math New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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76
books
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- Complex Analysis (Princeton Lectures in Analysis) by Elias M. Stein in Back Matter
- Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups (Universitext) by Alexander J. Hahn in Front Matter
- Game Theory by Jones in Front Matter
- Introduction to Arithmetical Functions (Universitext) by Paul J. McCarthy in Front Matter
- Introduction to Algebra (Universitext) by A.I. Kostrikin in Front Matter
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- Option Theory with Stochastic Analysis: An Introduction to Mathematical Finance (Universitext) by Fred Espen Benth in Back Matter
- p-adic Numbers: An Introduction (Universitext) by Fernando Quadros Gouvea in Back Matter
- A Course in Credibility Theory and its Applications (Universitext) by Hans Bühlmann in Back Matter
- Logic and Structure by Dirk van Dalen in Back Matter
- Heights of Polynomials and Entropy in Algebraic Dynamics (Universitext) by Graham Everest in Front Matter
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