Download or read book Several Complex Variables Maryland 1970 Proceedings of the International Mathematical Conference Held at College Park April 6 17 1970 written by John Horvath and published by Springer. This book was released on 2006-11-15 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Several Complex Variables Part 1 written by Raymond O'Neil Wells and published by American Mathematical Soc.. This book was released on 1977 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Singularities of analytic spaces, Function theory and real analysis, Compact complex manifolds, and Survey papers.

Download or read book Symposium on Several Complex Variables Park City Utah 1970 written by Robert M. Brooks and published by Springer. This book was released on 2006-11-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles based on talks given at the Symposium on several complex variables, Park City, March 30 - April 3, 1970. The papers herein represent a broad spectrum of mathematical research (e.g. function algebras, sheaf theory, differential operators, manifolds) but are related by the fact that they are all related to some degree to the area of several complex variables.

Download or read book Several Complex Variables Maryland 1970 Proceedings of the International Mathematical Conference Held at College Park April 6 17 1970 written by John Horváth and published by . This book was released on 2014-09-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Several Complex Variables III written by G.M. Khenkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space

Download or read book Entire Functions of Several Complex Variables written by Pierre Lelong and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.

Download or read book Nevanlinna Theory in Several Complex Variables and Diophantine Approximation written by Junjiro Noguchi and published by Springer Science & Business Media. This book was released on 2013-12-09 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers. This book with nine chapters systematically describes Nevanlinna theory of meromorphic maps between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 to the current state of research. Chapter 2 presents the First Main Theorem for coherent ideal sheaves in a very general form. With the preparation of plurisubharmonic functions, how the theory to be generalized in a higher dimension is described. In Chap. 3 the Second Main Theorem for differentiably non-degenerate meromorphic maps by Griffiths and others is proved as a prototype of higher dimensional Nevanlinna theory. Establishing such a Second Main Theorem for entire curves in general complex algebraic varieties is a wide-open problem. In Chap. 4, the Cartan-Nochka Second Main Theorem in the linear projective case and the Logarithmic Bloch-Ochiai Theorem in the case of general algebraic varieties are proved. Then the theory of entire curves in semi-abelian varieties, including the Second Main Theorem of Noguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to the notion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are discussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt with from the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is discussed. Finally, in Chap. 9, the theorems of Roth, Schmidt, Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4, 6, and 7.

Download or read book Graph Theory and Applications written by Y. Alavi and published by Springer. This book was released on 2006-11-15 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Equivariant Pontrjagin Classes and Applications to Orbit Spaces written by D. B. Zagier and published by Springer. This book was released on 2006-11-15 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of the Second Conference on Compact Tranformation Groups University of Massachusetts Amherst 1971 written by H. T Ku and published by Springer. This book was released on 2006-11-15 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Potential Theory written by John Wermer and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Potential theory grew out of mathematical physics, in particular out of the theory of gravitation and the theory of electrostatics. Mathematical physicists such as Poisson and Green introduced some of the central ideas of the subject. A mathematician with a general knowledge of analysis may find it useful to begin his study of classical potential theory by looking at its physical origins. Sections 2, 5 and 6 of these Notes give in part heuristic arguments based on physical considerations. These heuristic arguments suggest mathematical theorems and provide the mathematician with the problem of finding the proper hypotheses and mathematical proofs. These Notes are based on a one-semester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of Real Function Theory to the extent of a first year graduate course. In addition some elementary facts regarding harmonic functions are aS$umed as known. For convenience we have listed these facts in the Appendix. Some notation is also explained there. Essentially all the proofs we give in the Notes are for Euclidean 3-space R3 and Newtonian potentials ~.

Download or read book The Souslin Problem written by K.J. Devlin and published by Springer. This book was released on 2006-11-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Infinite Dimensional Lie Transformation Groups written by H. Omori and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Category Seminar written by G.M. Kelly and published by Springer. This book was released on 2006-11-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Theory of Arithmetic Functions written by Anthony A. Gioia and published by Springer. This book was released on 2006-11-15 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ordinary and Partial Differential Equations written by B.D. Sleeman and published by Springer. This book was released on 2006-11-15 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Graphs and Combinatorics written by R.A. Bari and published by Springer. This book was released on 2006-11-15 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: