Function Theory in the Unit Ball of ℂn

  • Walter Rudin

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
  21. Back Matter
    Pages 419-436

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

  • Walter Rudin
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

Bibliographic information

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