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Author : Francesco Guaraldo
Publisher : Springer-Verlag
ISBN 13 : 3322842436
Total Pages : 174 pages
Book Rating : 4.3/5 (228 download)
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:
Author : Francesca Acquistapace
Publisher : Springer Nature
ISBN 13 : 3030966666
Total Pages : 285 pages
Book Rating : 4.0/5 (39 download)
Download or read book Topics in Global Real Analytic Geometry written by Francesca Acquistapace and published by Springer Nature. This book was released on 2022-06-07 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli. Then Nullstellensatz is proved both for Stein algebras and for the algebra of real analytic functions on a C-analytic space. Here we find a relation between real Nullstellensatz and seventeenth Hilbert’s problem for positive semidefinite analytic functions. Namely, a positive answer to Hilbert’s problem implies a solution for the real Nullstellensatz more similar to the one for real polinomials. A chapter is devoted to the state of the art on this problem that is far from a complete answer. In the last chapter we deal with inequalities. We describe a class of semianalytic sets defined by countably many global real analytic functions that is stable under topological properties and under proper holomorphic maps between Stein spaces, that is, verifies a direct image theorem. A smaller class admits also a decomposition into irreducible components as it happens for semialgebraic sets. During the redaction some proofs have been simplified with respect to the original ones.
Author : Raghavan Narasimhan
Publisher : Springer
ISBN 13 : 354034845X
Total Pages : 149 pages
Book Rating : 4.5/5 (43 download)
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:
Author : KRANTZ
Publisher : Birkhäuser
ISBN 13 : 3034876440
Total Pages : 190 pages
Book Rating : 4.0/5 (348 download)
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.
Author : José Seade
Publisher : Springer Science & Business Media
ISBN 13 : 3764373954
Total Pages : 243 pages
Book Rating : 4.7/5 (643 download)
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.
Author : P. Flondor
Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (897 download)
Download or read book Some Invariants on Real-analytic Spaces written by P. Flondor and published by . This book was released on 1979 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oscar Blasco
Publisher : American Mathematical Soc.
ISBN 13 : 0821852752
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
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.
Author : Gordon Thomas Whyburn
Publisher : American Mathematical Soc.
ISBN 13 : 0821810286
Total Pages : 295 pages
Book Rating : 4.8/5 (218 download)
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.
Author : John Garnett
Publisher : Springer Science & Business Media
ISBN 13 : 0387497633
Total Pages : 471 pages
Book Rating : 4.3/5 (874 download)
Download or read book Bounded Analytic Functions written by John Garnett and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so. The last seven of the ten chapters are devoted in the main to these recent developments. The motif of the theory of Hardy spaces is the interplay between real, complex, and abstract analysis. While paying proper attention to each of the three aspects, the author has underscored the effectiveness of the methods coming from real analysis, many of them developed as part of a program to extend the theory to Euclidean spaces, where the complex methods are not available.
Author : James William Bruce
Publisher : CRC Press
ISBN 13 : 9781584881421
Total Pages : 292 pages
Book Rating : 4.8/5 (814 download)
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.
Author : Jean-Paul Gauthier
Publisher : Cambridge University Press
ISBN 13 : 9780521805933
Total Pages : 250 pages
Book Rating : 4.8/5 (59 download)
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'.
Author : Mats Andersson
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947549
Total Pages : 174 pages
Book Rating : 4.9/5 (475 download)
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.
Author : Guillermo Segundo Ferreyra
Publisher : American Mathematical Soc.
ISBN 13 : 0821808877
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry and Control written by Guillermo Segundo Ferreyra and published by American Mathematical Soc.. This book was released on 1999 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers from a summer 1997 meeting on recent developments and important open problems in geometric control theory. Topics include linear control systems in Lie groups and controllability, real analytic geometry and local observability, singular extremals of order 3 and chattering, infinite time horizon stochastic control problems in hyperbolic three space, and Monge-Ampere equations. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Fabrizio Broglia
Publisher : American Mathematical Soc.
ISBN 13 : 1470429667
Total Pages : 390 pages
Book Rating : 4.4/5 (74 download)
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.
Author : Jörg Schürmann
Publisher : Springer Science & Business Media
ISBN 13 : 9783764321895
Total Pages : 472 pages
Book Rating : 4.3/5 (218 download)
Download or read book Topology of Singular Spaces and Constructible Sheaves written by Jörg Schürmann and published by Springer Science & Business Media. This book was released on 2003-10-24 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
Author : Irwin Kra
Publisher : Princeton University Press
ISBN 13 : 1400881552
Total Pages : 533 pages
Book Rating : 4.4/5 (8 download)
Download or read book Riemann Surfaces and Related Topics (AM-97), Volume 97 written by Irwin Kra and published by Princeton University Press. This book was released on 2016-03-02 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author : Michael Field
Publisher : Springer
ISBN 13 : 331967546X
Total Pages : 462 pages
Book Rating : 4.3/5 (196 download)
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.
