Function Theory in the Unit Ball of Cn
Springer Berlin (Verlag)
978-3-540-68272-1 (ISBN)
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
Prof. Dr. Walter Rudin ist Professor (em.) an der University of Wisconsin-Madison, USA. 1949 machte er seinen Ph.D. an der Duke University, North Carolina. Anschließend arbeitete er als Dozent am Massachusetts Institute of Technology, von wo er 1959 an die University of Wisconsin-Madison wechselte. Bekannt wurde Walter Rudin vor allem durch seine mittlerweile in 13 Sprachen übersetzten Analysis-Lehrbücher. In seinen Forschungen befasste er sich hauptsächlich mit harmonischer Analysis und komplexen Variablen. 1993 wurde ihm von der Amerikanischen Mathematischen Gesellschaft der "Leroy P. Steele Prize for Mathematical Exposition" verliehen.
Preliminaries.- The Automorphisms of B.- Integral Representations.- The Invariant Laplacian.- Boundary Behavior of Poisson Integrals.- Boundary Behavior of Cauchy Integrals.- Some Lp-Topics.- Consequences of the Schwarz Lemma.- Measures Related to the Ball Algebra.- Interpolation Sets for the Ball Algebra.- Boundary Behavior of H?-Functions.- Unitarily Invariant Function Spaces.- Moebius-Invariant Function Spaces.- Analytic Varieties.- Proper Holomorphic Maps.- The -Problem.- The Zeros of Nevanlinna Functions.- Tangential Cauchy-Riemann Operators.- Open Problems.
"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)
| Erscheint lt. Verlag | 28.7.2008 |
|---|---|
| Reihe/Serie | Classics in Mathematics |
| Zusatzinfo | XIII, 436 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 695 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Function • Functional Analysis • Function Theory • Funktionentheorie • Minimum • Real analysis |
| ISBN-10 | 3-540-68272-4 / 3540682724 |
| ISBN-13 | 978-3-540-68272-1 / 9783540682721 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
