Function Theory in the Unit Ball of PHI N
Author: Walter Rudin
Publisher:
Published: 1980
Total Pages:
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Walter Rudin
Publisher:
Published: 1980
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: W. Rudin
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 449
ISBN-13: 1461380987
DOWNLOAD EBOOKAround 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: Walter Rudin
Publisher:
Published: 1980-01-01
Total Pages: 436
ISBN-13: 9783540905141
DOWNLOAD EBOOKAuthor: Walter Rudin
Publisher:
Published: 1980
Total Pages: 436
ISBN-13:
DOWNLOAD EBOOKAuthor: Muddappa Seetharama Gowda
Publisher:
Published: 1982
Total Pages: 94
ISBN-13:
DOWNLOAD EBOOKAuthor: Walter Rudin
Publisher:
Published: 1980
Total Pages: 436
ISBN-13:
DOWNLOAD EBOOKAuthor: Stephen D. Fisher
Publisher: Courier Corporation
Published: 2014-06-10
Total Pages: 292
ISBN-13: 0486151107
DOWNLOAD EBOOKA high-level treatment of complex analysis, this text focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes domains bounded by a finite number of disjoint analytic simple closed curves. The first chapter and parts of Chapters 2 and 3 offer background material, all of it classical and important in its own right. The remainder of the text presents results in complex analysis from the far, middle, and recent past, all selected for their interest and merit as substantive mathematics. Suitable for upper-level undergraduates and graduate students, this text is accessible to anyone with a background in complex and functional analysis. Author Stephen D. Fisher, a professor of mathematics at Northwestern University, elaborates upon and extends results with a set of exercises at the end of each chapter.
Author: Walter Rudin
Publisher:
Published: 1980
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: R.E. Greene
Publisher: Springer
Published: 2006-11-15
Total Pages: 219
ISBN-13: 3540355367
DOWNLOAD EBOOKAuthor: Sheldon Axler
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 266
ISBN-13: 1475781377
DOWNLOAD EBOOKThis book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.