New Constructions of Functions Holomorphic in the Unit Ball Cn: Regional Conference - Brossura

Rudin, Walter

Brossura

ISBN 10: 0821807137 ISBN 13: 9780821807132

Casa editrice: Amer Mathematical Society, 1986

Riassunto

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.

Su questa edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1986
• ISBN 10: 0821807137
• ISBN 13: 9780821807132
• Rilegatura: Copertina flessibile