Introduction To The Theory Of Analytic Spaces PDF Download
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Author | : Raghavan Narasimhan |
Publisher | : Springer |
Total Pages | : 149 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 354034845X |
Download Introduction to the Theory of Analytic Spaces Book in PDF, ePub and Kindle
Author | : R. Narasimhan |
Publisher | : |
Total Pages | : 156 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662201688 |
Download Introduction to the Theory of Analytic Spaces Book in PDF, ePub and Kindle
Author | : Vladimir G. Berkovich |
Publisher | : American Mathematical Soc. |
Total Pages | : 181 |
Release | : 2012-08-02 |
Genre | : Mathematics |
ISBN | : 0821890204 |
Download Spectral Theory and Analytic Geometry over Non-Archimedean Fields Book in PDF, ePub and Kindle
The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.
Author | : J. Hoffmann-Jørgensen |
Publisher | : |
Total Pages | : 628 |
Release | : 1970 |
Genre | : |
ISBN | : |
Download The theory of analytic spaces Book in PDF, ePub and Kindle
Author | : Gilbert Helmberg |
Publisher | : Elsevier |
Total Pages | : 362 |
Release | : 2014-11-28 |
Genre | : Science |
ISBN | : 1483164179 |
Download Introduction to Spectral Theory in Hilbert Space Book in PDF, ePub and Kindle
North-Holland Series in Applied Mathematics and Mechanics, Volume 6: Introduction to Spectral Theory in Hilbert Space focuses on the mechanics, principles, and approaches involved in spectral theory in Hilbert space. The publication first elaborates on the concept and specific geometry of Hilbert space and bounded linear operators. Discussions focus on projection and adjoint operators, bilinear forms, bounded linear mappings, isomorphisms, orthogonal subspaces, base, subspaces, finite dimensional Euclidean space, and normed linear spaces. The text then takes a look at the general theory of linear operators and spectral analysis of compact linear operators, including spectral decomposition of a compact selfadjoint operator, weakly convergent sequences, spectrum of a compact linear operator, and eigenvalues of a linear operator. The manuscript ponders on the spectral analysis of bounded linear operators and unbounded selfadjoint operators. Topics include spectral decomposition of an unbounded selfadjoint operator and bounded normal operator, functions of a unitary operator, step functions of a bounded selfadjoint operator, polynomials in a bounded operator, and order relation for bounded selfadjoint operators. The publication is a valuable source of data for mathematicians and researchers interested in spectral theory in Hilbert space.
Author | : James Harkness |
Publisher | : |
Total Pages | : 358 |
Release | : 1898 |
Genre | : Analytic functions |
ISBN | : |
Download Introduction to the Theory of Analytic Functions Book in PDF, ePub and Kindle
Author | : Antoine Ducros |
Publisher | : Springer |
Total Pages | : 432 |
Release | : 2014-11-21 |
Genre | : Mathematics |
ISBN | : 3319110292 |
Download Berkovich Spaces and Applications Book in PDF, ePub and Kindle
We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part focuses on applications to geometry. A second text by A. Ducros contains a new proof of the fact that the higher direct images of a coherent sheaf under a proper map are coherent, and B. Rémy, A. Thuillier and A. Werner provide an overview of their work on the compactification of Bruhat-Tits buildings using Berkovich analytic geometry. The third and final part explores the relationship between non-archimedean geometry and dynamics. A contribution by M. Jonsson contains a thorough discussion of non-archimedean dynamical systems in dimension 1 and 2. Finally a survey by J.-P. Otal gives an account of Morgan-Shalen's theory of compactification of character varieties. This book will provide the reader with enough material on the basic concepts and constructions related to Berkovich spaces to move on to more advanced research articles on the subject. We also hope that the applications presented here will inspire the reader to discover new settings where these beautiful and intricate objects might arise.
Author | : J. Hoffmann-Jørgensen |
Publisher | : |
Total Pages | : 628 |
Release | : 1970 |
Genre | : Analytic spaces |
ISBN | : |
Download The Theory of Analytic Spaces [by] J. Hoffmann-Jørgensen Book in PDF, ePub and Kindle
Author | : Robert C. Gunning |
Publisher | : American Mathematical Society |
Total Pages | : 334 |
Release | : 2022-08-25 |
Genre | : Mathematics |
ISBN | : 1470470667 |
Download Analytic Functions of Several Complex Variables Book in PDF, ePub and Kindle
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.
Author | : Paul Koosis |
Publisher | : Cambridge University Press |
Total Pages | : 316 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0521455219 |
Download Introduction to Hp Spaces Book in PDF, ePub and Kindle
The first edition of this well known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). The intention was to give the reader, assumed to know basic real and complex variable theory and a little functional analysis, a secure foothold in the basic theory, and to understand its applications in other areas. For this reason, emphasis is placed on methods and the ideas behind them rather than on the accumulation of as many results as possible. The second edition retains that intention, but the coverage has been extended. The author has included two appendices by V. P. Havin, on Peter Jones' interpolation formula, and Havin's own proof of the weak sequential completeness of L1/H1(0); in addition, numerous amendments, additions and corrections have been made throughout.