Download or read book On Invertible Holomorphic Functions with Values in a Topological Algebra written by Arturo V. Ferreira and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Extension of Holomorphic Functions written by Marek Jarnicki and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.
Download or read book Algebras of Holomorphic Functions and Control Theory written by Amol Sasane and published by Courier Corporation. This book was released on 2013-04-10 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.
Download or read book Reviews in Functional Analysis 1980 86 written by and published by . This book was released on 1989 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Theory of Hyperfunctions written by A. Kaneko and published by Springer Science & Business Media. This book was released on 1989-02-28 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Normed Algebras written by M.A. Naimark and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: book and to the publisher NOORDHOFF who made possible the appearance of the second edition and enabled the author to introduce the above-mentioned modifi cations and additions. Moscow M. A. NAIMARK August 1963 FOREWORD TO THE SECOND SOVIET EDITION In this second edition the initial text has been worked over again and improved, certain portions have been completely rewritten; in particular, Chapter VIII has been rewritten in a more accessible form. The changes and extensions made by the author in the Japanese, German, first and second (= first revised) American, and also in the Romanian (lithographed) editions, were hereby taken into account. Appendices II and III, which are necessary for understanding Chapter VIII, have been included for the convenience of the reader. The book discusses many new theoretical results which have been developing in tensively during the decade after the publication of the first edition. Of course, lim itations on the volume of the book obliged the author to make a tough selection and in many cases to limit himself to simply a formulation of the new results or to pointing out the literature. The author was also compelled to make a choice of the exceptionally extensive collection of new works in extending the literature list. Monographs and survey articles on special topics of the theory which have been published during the past decade have been included in this list and in the litera ture pointed out in the individual chapters.
Download or read book Reviews in Complex Analysis 1980 86 written by and published by . This book was released on 1989 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces and Algebras written by Lucien Waelbroeck 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: The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.
Download or read book An Introduction to Multicomplex SPates and Functions written by Price and published by CRC Press. This book was released on 2018-05-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rather pretty little book, written in the form of a text but more likely to be read simply for pleasure, in which the author (Professor Emeritus of Mathematics at the U. of Kansas) explores the analog of the theory of functions of a complex variable which comes into being when the complexes are re
Download or read book Holomorphic Functions Domains of Holomorphy and Local Properties written by and published by Elsevier. This book was released on 2011-08-26 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Holomorphic Functions, Domains of Holomorphy and Local Properties
Download or read book Rendiconti written by and published by . This book was released on 1980 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stein Manifolds and Holomorphic Mappings written by Franc Forstnerič and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.
Download or read book Complex Polynomials written by T. Sheil-Small and published by Cambridge University Press. This book was released on 2002-11-07 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis.
Download or read book The Homology of Banach and Topological Algebras written by A.Y. Helemskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi - ... si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aUe.' it belongs. on the topmost shelf next Jules Verne where to the dusty canister labelled 'discarded non· The series is divergent: therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book Holomorphic Functions that Map Continuous Nonanalytic Functions Into the Disc Algebra and Nicely Placed Subsets of the Real Line written by Paul Edward Fishback and published by . This book was released on 1992 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functional Analysis and Semi Groups written by Einar Hille and published by Dutt Press. This book was released on 2008-11 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: AMERICAN MATHEMATICAL SOCIETY COLLOQUIUM PUBLICATIONS VOLUME XXXI FUNCTIONAL ANALYSIS AND SEMI-GROUPS BY EINAR HILLE PROFESSOR OF MATHEMATICS YALE UNIVERSITY PUBLISHED BY THE AMERICAN MATHEMATICAL SOCIETY 531 WEST 116iH STREET, NEW YORK CITY 1948 To KIRSTI And each man hears as the twilight nears, to the beat of his dying hearty The Devil drum on the darkened pane You did it, but was it Art FOREWORD The analytical theory of semi-groups is a recent addition to the ever-growing list of mathematical disciplines. It was my good fortune to take an early interest in this disci pline and to see it reach maturity. It has been a pleasant association I hail a semi-group when I see one and I seem to see them every where Friends have observed, however, that there are mathematical objects which are not semi-groups. The present book is an elaboration of my Colloquium Lectures delivered before the American Mathematical Society at its August, 1944 meeting at Wellesley College. I wish to thank the Society and its officers for their invitation to present and publish these lectures. The book is divided into three parts plus an appendix. My desire to give a practically self-contained presentation of the theory required the inclusion of an elaborate introduc tion to modern functional analysis with special emphasis on function theory in Banach spaces and algebras. This occupies Part One of the book and the Appendix these portions can be read separately from the rest and may be used as a text in a course on operator theory. It is possible to cover most of the material in these six chapters in two terms. The analytical theory of one-parameter semi-groups occupies Part Two while Part Three deals with theapplications to analysis. The latter include such varied topics as trigonometric series and integrals, summability, fractional integration, stochastic theory, and the problem of Cauchy for partial differential equations. In the general theory the reader will also find an alternate approach to ergodic theory. All semi-groups studied in this treatise are referred to a normed topology semi-groups without topology figure in a few places but no details are given. The task of developing an adequate theory of trans formation semi-groups operating in partially ordered spaces is left to more competent hands. The literature has been covered rather incompletely owing to recent war conditions and to the wide range of topics touched upon, which have made it exceedingly difficult to give the proper credits. This investigation has been supported by grants from the American Philosophical Society and from Yale University which are gratefully acknowledged. On the personal side, it is a great pleasure to express my gratitude to the many friends who have aided me in pre paring this book. J. D. Tamarkin, who read and criticized my early work in the field and who vigorously urged its inclusion in the Colloquium Series is beyond the reach of my grati tude. I am deeply indebted to Nelson Dunford and to Max Zorn who have contributed extensively to the book, the former chiefly to Chapters II, III, V, VIII, IX, and XIV, the latter to Chapters IV, VII, and XXII. Both have given me generously of their time and special experience. Various portions of the manuscript have been critically examined and amended by Warren Ambrose, E. G. Begle, H. Cramdr, J. L. Doob, W. Feller, N. Jacobson, D. S. Miller, II. Pollard, C.E. Rickart, and I. E. Segal. To all helpers, named and un named, I extend my warmest thanks. EINAK HILLE New Haven, Conn., December, 1946 CONVENTIONS Each Part of the book starts with a Summary, each Chapter with an Orientation. The chapters are divided into sections and the sections, except orientations, are grouped into paragraphs. Cross references are normally to sections, rarely to paragraphs. Section 3.10 is the tenth section of Chapter III it belongs to 2 which is referred to as 3.2 when necessary...
Download or read book The Implicit Function Theorem written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-11-26 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash--Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.
