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Donald Sarason. AMERICAN MATHEMATICAL SOCIETY. Complex Function Theory. Second Edition NOTES ON COMPLEX FUNCTION THEORY. Donald Sarason. Department of Mathematics. University of California. Berkeley, California Title, Complex Function Theory. Author, Donald Sarason. Publisher, American Mathematical Soc. ISBN, , Length, pages.

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Complex Function Theory : Donald Sarason :

Retrieved from ” https: Sadason is suitable for either vunction introductory graduate course or an undergraduate course for students with adequate preparation. Of all his publications, these lecture notes are the fifth most frequently cited according to the bibliographic database MathSciNet.

Sufficient condition for differentiability Appendix 2: Sarason was the author of 78 mathematics publications spanning the fifty years from to Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable.

Algebras of Functions on the Unit Circle. On June 19—23,Sarason gave a series of ten lectures at a conference hosted by Virginia Polytechnic Institute and State University now Virginia Tech on analytic function theory on the unit circle. Then in an important paper [6] that has since been cited by hundreds of other papers, Sarason introduced the space VMO of functions of vanishing mean oscillation.

Complex Function Theory

Author s Product display: A Characterization of Douglas Subalgebras. Goodreads is the world’s largest site for readers with over 50 million reviews. Table of contents Complex numbers Complex differentiation Linear-fractional transformations Elementary functions Power series Complex integration Core versions of Cauchy’s theorem, and consequences Laurent series and isolated singularities Cauchy’s theorem Further development of basic complex function theory Appendix 1: Publication Month and Year: Being designed for a one-semester course, it is much shorter than many of the standard texts.

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From a review of the previous edition … The exposition is clear, rigorous, and friendly.

Description Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Though only available as a mimeographed document, they circulated widely and were very influential.

Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Groups, and linear-fractional transformations Appendix 4: We use cookies to give you the best possible experience. See our librarian page for additional eBook ordering options. In these lectures he discussed a number of recent results in the field, bringing together classical ideas and more recent ideas from functional analysis and from the extension of the theory of Hardy spaces to higher saeason.

The first edition was published with the title Notes on Complex Function Theory. Home Contact Us Help Free delivery worldwide.

Complex Function Theory: Second Edition

Online Price 2 Label: Functions of Vanishing Mean Oscillation. Online Price 3 Label: Thoery Sarason went to the University of California Berkeley as an Assistant Professor —Associate Professor — and until his retirement, Professor — Cambridge University Press, Cambridge, Pick [3] on when an interpolation problem can be solved by a holomorphic function that maps the disk to itself; this is often called Nevanlinna-Pick interpolation.

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Access this eBook now! By using this site, you agree to the Terms of Use and Privacy Policy. Sarason was awarded a Sloan Fellowship for — Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.

Donald Sarason – Wikipedia

Sarason covers the basic material through Cauchy’s theorem and applications, plus the Riemann mapping theorem. Two instances of the chain rule Appendix 3: This textbook for a first course in complex analysis at the advanced undergraduate level provides an unusually clear introduction to the theory of analytic functions. Retrieved sarasom April From Wikipedia, the free encyclopedia. Check out the dohald books of the year on our page Best Books of Dual Price 2 Label: University of California, Berkeley.

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