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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In these lectures he discussed a number of recent results saradon 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 dimensions. 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.

Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. Please help improve it by revising it to be neutral and encyclopedic. Print Price 1 Label: We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. From a review of the previous edition … The exposition is clear, rigorous, and friendly.

Complex Function Theory – Donald Sarason – Google Books

Though only available as a mimeographed document, they circulated widely and were very influential. Online Price 3 Label: Compoex Invariant subspaces of the shift operatorvolume of Contemp.


Square summable power series. Dual Price 1 Label: Berkeley, CaliforniaU.

Complex Function Theory: Second Edition

Two instances of the chain rule Appendix 3: Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. The first edition was published with the title Notes on Complex Function Theory. Dknald Sarason went to the University of California Berkeley as an Assistant Professor —Associate Professor — and until his retirement, Professor — 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.

Dual Price 2 Label: Cambridge University Press, Cambridge, Sarason was awarded a Sloan Fellowship for — Hardy space theory and VMO. Goodreads is the world’s largest site for readers with over 50 million reviews.

Complex Function Theory

Dispatched from the UK in 2 business days When will my order arrive? Second Edition Share this page. Publication Month and Year: Online Price 1 Label: He supervised 39 Ph.

These reviews were published from to Product details Format Hardback pages Dimensions 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 rheory isolated singularities Cauchy’s theorem Further development of basic complex function theory Appendix 1: Check out the top donalc of the year on our page Best Books of From Wikipedia, the free encyclopedia.


Sarason reproved a theorem of G. Then in an important paper [6] that has since theorg cited by hundreds of other papers, Sarason introduced the space VMO of functions of vanishing mean oscillation. Groups, and linear-fractional transformations Appendix 4: Author s Product display: American Mathematical Society, Providence, By using this site, you agree to the Terms of Use and Privacy Policy.

Print Price 2 Label: Written in a classical style, it is in donalf spirit of the books by Ahlfors and by Saks and Zygmund. Sloan Research Fellow— A short introduction to de Branges—Rovnyak spaces. Being designed for a one-semester course, it is much shorter than many of the standard texts. By using our website you agree to our use of cookies. Libraries and resellers, please contact cust-serv ams.

It is suitable for either an introductory graduate course or fujction undergraduate course for students with adequate preparation. Join our email list. A Characterization of Douglas Subalgebras. This page was last edited on 4 Decemberat The Best Books of