This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which emphasizes the potential-theoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Special Chapters in the Theory of Analytic Functions of Several Complex Variables
Introduction to the Theory of Analytic Functions of Several Complex Variables
The theory of real analytic functions is the wellspring of mathe matical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible.
H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math. 68 (1958), 460–472. ... MR0320743 (47:9277) S. Krantz, H. R. Parks, A Primer of Real Analytic Functions, Birkhäuser, Basel 1992.
A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material.
This book is a reprint of the third edition of the classic book on complex analysis.
An Introduction to Complex Analysis in Several Variables
... Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties, 2015 Mark L. Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Dmitry Khavinson, Simeon Reich, Gilbert Weinstein, and Lawrence Zalcman ...
This book treats spherical harmonic expansion of real analytic functions and hyperfunctions on the sphere.
This book is a truly original account of a therapeutic journey.