New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics) by Walter Rudin (PDF)

Description

The starting point for the research presented in this book is A. B. Aleksandrov’s proof that nonconstant inner functions exist in the unit ball $B$ of $C^n$. The construction of such functions has been simplified by using certain homogeneous polynomials discovered by Ryll and Wojtaszczyk; this yields solutions to a large number of problems. The lectures, presented at a CBMS Regional Conference held in 1985, are organized into a body of results discovered in the preceding four years in this field, simplifying some of the proofs and generalizing some results. The book also contains results that were obtained by Monique Hakina, Nessim Sibony, Erik Low and Paula Russo. Some of these are new even in one variable. An appreciation of techniques not previously used in the context of several complex variables will reward the reader who is reasonably familiar with holomorphic functions of one complex variable and with some functional analysis.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Not found.

⭐Not found.

Keywords

Free Download New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics) in PDF format
New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics) PDF Free Download
Download New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics) 1986 PDF Free
New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics) 1986 PDF Free Download
Download New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics) PDF
Free Download Ebook New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ (Cbms Regional Conference Series in Mathematics)