Function Theory In The Unit Ball Of Cn PDF Download
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Author | : W. Rudin |
Publisher | : Springer Science & Business Media |
Total Pages | : 449 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461380987 |
Download Function Theory in the Unit Ball of Cn Book in PDF, ePub and Kindle
Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction.
Author | : |
Publisher | : |
Total Pages | : 436 |
Release | : 1980 |
Genre | : Holomorphic functions |
ISBN | : |
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Author | : Muddappa Seetharama Gowda |
Publisher | : |
Total Pages | : 32 |
Release | : 1982 |
Genre | : |
ISBN | : |
Download Two Problems in the Function Theory of the Unit Ball of /Cn Book in PDF, ePub and Kindle
Author | : Walter Rudin |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : |
ISBN | : |
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Author | : Walter Rudin |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Function Theory in the Unit Ball of PHI N Book in PDF, ePub and Kindle
Author | : Walter Rudin |
Publisher | : American Mathematical Soc. |
Total Pages | : 100 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 9780821889084 |
Download New Constructions of Functions Holomorphic in the Unit Ball of CN Book in PDF, ePub and Kindle
Author | : Walter Rudin |
Publisher | : |
Total Pages | : 436 |
Release | : 1980 |
Genre | : Holomorphic functions |
ISBN | : |
Download Function Theory in the Unit Ball of N Book in PDF, ePub and Kindle
Author | : Walter Rudin |
Publisher | : American Mathematical Soc. |
Total Pages | : 96 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 0821807137 |
Download New Constructions of Functions Holomorphic in the Unit Ball of $C^n$ Book in PDF, ePub and Kindle
Uses as a starting point A B Aleksandrov's proof that nonconstant inner functions exist in the unit ball $B$ of $C DEGREESn$. This title simplifies the construction of such functions by using certain homogeneous polynomials discovered by Ryll and Wojtaszczyk; this yields solutions to a large number of pr
Author | : Muddappa Seetharama Gowda |
Publisher | : |
Total Pages | : 94 |
Release | : 1982 |
Genre | : Holomorphic functions |
ISBN | : |
Download Two Problems in the Function Theory of the Unit Ball of Ǹ Book in PDF, ePub and Kindle
Author | : Walter Rudin |
Publisher | : |
Total Pages | : 436 |
Release | : 1980 |
Genre | : Holomorphic functions |
ISBN | : |
Download Function Theory in the Unit Ball of [n-dimensional Complex Space] Book in PDF, ePub and Kindle