On the Topology of Isolated Singularities in Analytic Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3764373954
Total Pages : 243 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis On the Topology of Isolated Singularities in Analytic Spaces by : José Seade

Download or read book On the Topology of Isolated Singularities in Analytic Spaces written by José Seade and published by Springer Science & Business Media. This book was released on 2006-03-21 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.

Introduction to the Theory of Analytic Spaces

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Publisher : Springer
ISBN 13 : 354034845X
Total Pages : 149 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Introduction to the Theory of Analytic Spaces by : Raghavan Narasimhan

Download or read book Introduction to the Theory of Analytic Spaces written by Raghavan Narasimhan and published by Springer. This book was released on 2006-11-14 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Complex Analysis and Operator Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852752
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topics in Complex Analysis and Operator Theory by : Oscar Blasco

Download or read book Topics in Complex Analysis and Operator Theory written by Oscar Blasco and published by American Mathematical Soc.. This book was released on 2012 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the lecture notes as well as some invited papers presented at the Third Winter School in Complex Analysis, Operator Theory and Applications held February 2-5, 2010, in Valencia, Spain. The book is divided into two parts. The first is an extended self-contained version of the mini-courses taught at the School. The papers in this first part are: Notes on real analytic functions and classical operators, by Pawel Domanski; Shining a Hilbertian lamp on the bidisk, by John E. McCarthy; Selected problems in perturbation theory, by Vladimir V. Peller; and Composition operators on Hardy-Orlicz spaces, by Luis Rodriguez-Piazza. The second part consists of several research papers on recent advances in the area and some survey articles of an expository character. The articles in this second part are: Remarks on weighted mixed norm spaces, by O. Blasco; Interpolation subspaces of $L^1$ of a vector measure and norm inequalities for the integration operator, by J.M. Calabuig, J. Rodriguez, and E.A. Sanchez-Perez; On the spectra of algebras of analytic functions, by D. Carando, D. Garcia, M. Maestre, and P. Sevilla-Peris; Holomorphic self-maps of the disk intertwining two linear fractional maps, by M.D. Contreras, S. Diaz-Madrigal, M.J. Martin, and D. Vukotic; ABC-type estimates via Garsia-type norms, by K.M. Dyakonov; and Volterra type operators on Bergman spaces with exponential weights, by J. Pau and J.A. Pelaez. The topics selected for the mini-courses cover several aspects of complex analysis and operator theory that play important roles in understanding connections between different areas that are considered in fashion these days. This part is aimed at graduate students and young researchers. The courses are self-contained, focusing on those aspects that are basic and that can lead the readers to a quick understanding of the theories presented in each topic. They start with the classical results and reach a selection of open problems in each case. The research and survey articles are aimed at young researchers in the area, as well as post-doc and senior researchers interested in complex analysis and operator theory. This book is published in cooperation with Real Sociedad Matematica Espanola.

A Primer of Real Analytic Functions

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Publisher : Birkhäuser
ISBN 13 : 3034876440
Total Pages : 190 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis A Primer of Real Analytic Functions by : KRANTZ

Download or read book A Primer of Real Analytic Functions written by KRANTZ and published by Birkhäuser. This book was released on 2013-03-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.

Topics on Real Analytic Spaces

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Publisher : Springer-Verlag
ISBN 13 : 3322842436
Total Pages : 174 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Topics on Real Analytic Spaces by : Francesco Guaraldo

Download or read book Topics on Real Analytic Spaces written by Francesco Guaraldo and published by Springer-Verlag. This book was released on 2013-03-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics In Complex Analysis, Differential Geometry And Methematical Physics - Proceedings Of The Third International Workshop On Complex Structures And Vector Fields

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Publisher : World Scientific
ISBN 13 : 9814545899
Total Pages : 234 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Topics In Complex Analysis, Differential Geometry And Methematical Physics - Proceedings Of The Third International Workshop On Complex Structures And Vector Fields by : Stancho Dimiev

Download or read book Topics In Complex Analysis, Differential Geometry And Methematical Physics - Proceedings Of The Third International Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and published by World Scientific. This book was released on 1997-07-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.This volume contains many interesting and important articles in complex analysis (including quaternionic analysis), functional analysis, topology, differential geometry (hermitian geometry, surface theory), and mathematical physics (quantum mechanics, hamilton mechanics).

Analytic Topology

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Publisher : American Mathematical Soc.
ISBN 13 : 0821810286
Total Pages : 295 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analytic Topology by : Gordon Thomas Whyburn

Download or read book Analytic Topology written by Gordon Thomas Whyburn and published by American Mathematical Soc.. This book was released on 1963 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.

Real Submanifolds in Complex Space and Their Mappings (PMS-47)

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Publisher : Princeton University Press
ISBN 13 : 1400883962
Total Pages : 418 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Real Submanifolds in Complex Space and Their Mappings (PMS-47) by : M. Salah Baouendi

Download or read book Real Submanifolds in Complex Space and Their Mappings (PMS-47) written by M. Salah Baouendi and published by Princeton University Press. This book was released on 2016-06-02 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, algebraic, and analytical geometry. In turn, these latter areas have been enriched over the years by the study of problems in several complex variables addressed here. The authors, M. Salah Baouendi, Peter Ebenfelt, and Linda Preiss Rothschild, include extensive preliminary material to make the book accessible to nonspecialists. One of the most important topics that the authors address here is the holomorphic extension of functions and mappings that satisfy the tangential Cauchy-Riemann equations on real submanifolds. They present the main results in this area with a novel and self-contained approach. The book also devotes considerable attention to the study of holomorphic mappings between real submanifolds, and proves finite determination of such mappings by their jets under some optimal assumptions. The authors also give a thorough comparison of the various nondegeneracy conditions for manifolds and mappings and present new geometric interpretations of these conditions. Throughout the book, Cauchy-Riemann vector fields and their orbits play a central role and are presented in a setting that is both general and elementary.

Ordered Algebraic Structures and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470429667
Total Pages : 390 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Ordered Algebraic Structures and Related Topics by : Fabrizio Broglia

Download or read book Ordered Algebraic Structures and Related Topics written by Fabrizio Broglia and published by American Mathematical Soc.. This book was released on 2017 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the international conference "Ordered Algebraic Structures and Related Topics", held in October 2015, at CIRM, Luminy, Marseilles. Papers cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.

Descriptive Topology in Selected Topics of Functional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461405297
Total Pages : 494 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Descriptive Topology in Selected Topics of Functional Analysis by : Jerzy Kąkol

Download or read book Descriptive Topology in Selected Topics of Functional Analysis written by Jerzy Kąkol and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.

A Course on Function Spaces

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Publisher : Springer
ISBN 13 : 9783030806422
Total Pages : 0 pages
Book Rating : 4.8/5 (64 download)

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Book Synopsis A Course on Function Spaces by : Dominic Breit

Download or read book A Course on Function Spaces written by Dominic Breit and published by Springer. This book was released on 2023-02-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a thorough-yet-accessible introduction to function spaces, through the central concepts of integrability, weakly differentiability and fractionally differentiability. In an essentially self-contained treatment the reader is introduced to Lebesgue, Sobolev and BV-spaces, before being guided through various generalisations such as Bessel-potential spaces, fractional Sobolev spaces and Besov spaces. Written with the student in mind, the book gradually proceeds from elementary properties to more advanced topics such as lower dimensional trace embeddings, fine properties and approximate differentiability, incorporating recent approaches. Throughout, the authors provide careful motivation for the underlying concepts, which they illustrate with selected applications from partial differential equations, demonstrating the relevance and practical use of function spaces. Assuming only multivariable calculus and elementary functional analysis, as conveniently summarised in the opening chapters, A Course in Function Spaces is designed for lecture courses at the graduate level and will also be a valuable companion for young researchers in analysis.

Essential Real Analysis

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Publisher : Springer
ISBN 13 : 331967546X
Total Pages : 462 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Essential Real Analysis by : Michael Field

Download or read book Essential Real Analysis written by Michael Field and published by Springer. This book was released on 2017-11-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses. Starting from the very foundations of analysis, it offers a complete first course in real analysis, including topics rarely found in such detail in an undergraduate textbook such as the construction of non-analytic smooth functions, applications of the Euler-Maclaurin formula to estimates, and fractal geometry. Drawing on the author’s extensive teaching and research experience, the exposition is guided by carefully chosen examples and counter-examples, with the emphasis placed on the key ideas underlying the theory. Much of the content is informed by its applicability: Fourier analysis is developed to the point where it can be rigorously applied to partial differential equations or computation, and the theory of metric spaces includes applications to ordinary differential equations and fractals. Essential Real Analysis will appeal to students in pure and applied mathematics, as well as scientists looking to acquire a firm footing in mathematical analysis. Numerous exercises of varying difficulty, including some suitable for group work or class discussion, make this book suitable for self-study as well as lecture courses.

Topics in Complex Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387947549
Total Pages : 174 pages
Book Rating : 4.9/5 (475 download)

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Book Synopsis Topics in Complex Analysis by : Mats Andersson

Download or read book Topics in Complex Analysis written by Mats Andersson and published by Springer Science & Business Media. This book was released on 1996-11-15 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten years. As opposed to most introductory books on complex analysis, this one as sumes that the reader has previous knowledge of basic real analysis. This makes it possible to follow a rather quick route through the most fundamen tal material on the subject in order to move ahead to reach some classical highlights (such as Fatou theorems and some Nevanlinna theory), as well as some more recent topics (for example, the corona theorem and the HI_ BMO duality) within the time frame of a one-semester course. Sections 3 and 4 in Chapter 2, Sections 5 and 6 in Chapter 3, Section 3 in Chapter 5, and Section 4 in Chapter 7 were not contained in my original lecture notes and therefore might be considered special topics. In addition, they are completely independent and can be omitted with no loss of continuity. The order of the topics in the exposition coincides to a large degree with historical developments. The first five chapters essentially deal with theory developed in the nineteenth century, whereas the remaining chapters contain material from the early twentieth century up to the 1980s. Choosing methods of presentation and proofs is a delicate task. My aim has been to point out connections with real analysis and harmonic anal ysis, while at the same time treating classical complex function theory.

Real Analysis (Classic Version)

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Publisher : Pearson Modern Classics for Advanced Mathematics Series
ISBN 13 : 9780134689494
Total Pages : 0 pages
Book Rating : 4.6/5 (894 download)

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Book Synopsis Real Analysis (Classic Version) by : Halsey Royden

Download or read book Real Analysis (Classic Version) written by Halsey Royden and published by Pearson Modern Classics for Advanced Mathematics Series. This book was released on 2017-02-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.

Real and Complex Singularities

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Publisher : CRC Press
ISBN 13 : 9781584881421
Total Pages : 292 pages
Book Rating : 4.8/5 (814 download)

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Book Synopsis Real and Complex Singularities by : James William Bruce

Download or read book Real and Complex Singularities written by James William Bruce and published by CRC Press. This book was released on 1999-08-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundaries of singularity theory are broad and vague, connecting the most important applications of mathematics and science with more abstract areas. Optics, robotics, computer vision, Hamiltonian mechanics, bifurcation theory and differential equations are among the variety of topics that benefit from developments in the theory. With singularity theory encompassing more and more applications, Real and Complex Singularities provides insight into the future of this expanding field. Comprising refereed contributions to the Fifth Workshop on Real and Complex Singularities, this volume addresses three important areas related to the broad subject of singularities. The first section deals with questions within singularity theory itself, representing the topics currently being investigated. The second explores applications of singularity theory to differential geometry, robotics, and computer vision. The final section consists of applications to bifurcation theory and dynamical systems. With over two-hundred tables that provide quick access to data, this volume is a complete overview of the most current topics and applications of singularity theory. Real and Complex Singularities creates the opportunity for you to stay up-to-date with recent advances and discover promising directions for future research in the field.

Deterministic Observation Theory and Applications

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Publisher : Cambridge University Press
ISBN 13 : 9780521805933
Total Pages : 250 pages
Book Rating : 4.8/5 (59 download)

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Book Synopsis Deterministic Observation Theory and Applications by : Jean-Paul Gauthier

Download or read book Deterministic Observation Theory and Applications written by Jean-Paul Gauthier and published by Cambridge University Press. This book was released on 2001-10-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book presents a general theory as well as a constructive methodology to solve 'observation problems'.

Real Analytic and Algebraic Singularities

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Publisher : CRC Press
ISBN 13 : 9780582328747
Total Pages : 236 pages
Book Rating : 4.3/5 (287 download)

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Book Synopsis Real Analytic and Algebraic Singularities by : Toshisumi Fukui

Download or read book Real Analytic and Algebraic Singularities written by Toshisumi Fukui and published by CRC Press. This book was released on 1997-12-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of papers covering recent progress in a number of areas of singularity theory. Topics include blow analyticity, recent progress in the research on equivalence relations of maps and functions, sufficiency of jets, and the transversality theorem. . Geometric and analytic studies of partial differential equations have been developed independently of one another, but the shock wave solutions appearing in natural phenomena are not well understood. Singularity theory may unify these studies and a survey based on this viewpoint is presented in which a new notion of weak solution is introduced. There are also reports on the recent progress in Zariski's conjecture on multiplicities of hypersurfaces, transcendency of analytic sets and on the topology of weighted homogeneous polynomials. This book will be of particular interest to specialists in singularities, partial differential equations, algebraic geometry and control theory.