© 2008

Function Theory in the Unit Ball of ℂn


Part of the Classics in Mathematics book series (CLASSICS)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Walter Rudin
    Pages 1-22
  3. Walter Rudin
    Pages 23-35
  4. Walter Rudin
    Pages 36-46
  5. Walter Rudin
    Pages 47-64
  6. Walter Rudin
    Pages 65-90
  7. Walter Rudin
    Pages 91-119
  8. Walter Rudin
    Pages 120-160
  9. Walter Rudin
    Pages 161-184
  10. Walter Rudin
    Pages 185-203
  11. Walter Rudin
    Pages 204-233
  12. Walter Rudin
    Pages 234-252
  13. Walter Rudin
    Pages 253-277
  14. Walter Rudin
    Pages 278-287
  15. Walter Rudin
    Pages 288-299
  16. Walter Rudin
    Pages 300-329
  17. Walter Rudin
    Pages 330-363
  18. Walter Rudin
    Pages 364-386
  19. Walter Rudin
    Pages 387-402
  20. Walter Rudin
    Pages 403-417

About this book


Function Theory in the Unit Ball of Cn. From the reviews: "…The book is easy on the reader. The prerequisites are minimal—just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work. …certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses." R. Rochberg in Bulletin of the London Mathematical Society.  

"…an excellent introduction to one of the most active research fields of complex analysis. …As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. …Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. …Numerous examples throw light on the results as well as on the difficulties."

C. Andreian Cazacu in Zentralblatt für Mathematik


Function function theory functional analysis minimum real analysis

Authors and affiliations

  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

About the authors

Walter Rudin received his PhD in mathematics from Duke University in North Carolina in 1949. Starting in 1950 he took a Moore instructorship at MIT in Cambridge, Massachusetts where he wrote his first mathematical book. He then went to the University of Rochester in Rochester, New York and finally to the University of Wisconsin in Madison, Wisconsin where he has been a Professor of Mathematics since 1959. He is now an Emeritus Professor there.

Bibliographic information

  • Book Title Function Theory in the Unit Ball of ℂn
  • Authors Walter Rudin
  • Series Title Classics in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-540-68272-1
  • eBook ISBN 978-3-540-68276-9
  • Series ISSN 1431-0821
  • Edition Number 1
  • Number of Pages XIII, 436
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 241 in the series: Grundlehren der Mathematischen Wissenschaften
  • Topics Analysis
  • Buy this book on publisher's site
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“This book by Rudin was written in a period that a new type of approach to functions of several complex variables emerged … . a basic textbook that is quite accessible, and its reprint will be enjoyed by many researchers and students in complex analysis.” (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, Vol. 18, 2011)