Derived Functors In Functional Analysis
Download and Read Derived Functors In Functional Analysis full books in PDF, ePUB, and Kindle. Read online free Derived Functors In Functional Analysis ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Author | : Jochen Wengenroth |
Publisher | : Springer |
Total Pages | : 141 |
Release | : 2003-01-01 |
Genre | : Mathematics |
ISBN | : 3540362118 |
Download Derived Functors in Functional Analysis Book in PDF, Epub and Kindle
The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Author | : Jochen Wengenroth |
Publisher | : Springer Science & Business Media |
Total Pages | : 74 |
Release | : 2003-04-10 |
Genre | : Mathematics |
ISBN | : 9783540002369 |
Download Derived Functors in Functional Analysis Book in PDF, Epub and Kindle
The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Author | : Vincent Franjou |
Publisher | : Birkhäuser |
Total Pages | : 154 |
Release | : 2015-12-08 |
Genre | : Mathematics |
ISBN | : 3319213059 |
Download Lectures on Functor Homology Book in PDF, Epub and Kindle
This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems. In the lectures by Aurélien Djament, polynomial functors appear as coefficients in the homology of infinite families of classical groups, e.g. general linear groups or symplectic groups, and their stabilization. Djament’s theorem states that this stable homology can be computed using only the homology with trivial coefficients and the manageable functor homology. The series includes an intriguing development of Scorichenko’s unpublished results. The lectures by Wilberd van der Kallen lead to the solution of the general cohomological finite generation problem, extending Hilbert’s fourteenth problem and its solution to the context of cohomology. The focus here is on the cohomology of algebraic groups, or rational cohomology, and the coefficients are Friedlander and Suslin’s strict polynomial functors, a conceptual form of modules over the Schur algebra. Roman Mikhailov’s lectures highlight topological invariants: homoto py and homology of topological spaces, through derived functors of polynomial functors. In this regard the functor framework makes better use of naturality, allowing it to reach calculations that remain beyond the grasp of classical algebraic topology. Lastly, Antoine Touzé’s introductory course on homological algebra makes the book accessible to graduate students new to the field. The links between functor homology and the three fields mentioned above offer compelling arguments for pushing the development of the functor viewpoint. The lectures in this book will provide readers with a feel for functors, and a valuable new perspective to apply to their favourite problems.
Author | : Jim Pitman |
Publisher | : Springer Science & Business Media |
Total Pages | : 257 |
Release | : 2006-05-11 |
Genre | : Mathematics |
ISBN | : 354030990X |
Download Combinatorial Stochastic Processes Book in PDF, Epub and Kindle
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
Author | : Ole E. Barndorff-Nielsen |
Publisher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 2006 |
Genre | : Distribution |
ISBN | : 9783540244073 |
Download Quantum Independent Increment Processes II Book in PDF, Epub and Kindle
Lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics" held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald in March 9-22, 2003.
Author | : P. Constantin |
Publisher | : Springer Science & Business Media |
Total Pages | : 280 |
Release | : 2006-01-10 |
Genre | : Mathematics |
ISBN | : 9783540285861 |
Download Mathematical Foundation of Turbulent Viscous Flows Book in PDF, Epub and Kindle
Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.
Author | : Joseph Lipman |
Publisher | : Springer |
Total Pages | : 471 |
Release | : 2009-03-07 |
Genre | : Mathematics |
ISBN | : 3540854207 |
Download Foundations of Grothendieck Duality for Diagrams of Schemes Book in PDF, Epub and Kindle
Part One of this book covers the abstract foundations of Grothendieck duality theory for schemes in part with noetherian hypotheses and with some refinements for maps of finite tor-dimension. Part Two extends the theory to the context of diagrams of schemes.
Author | : Jakob Jonsson |
Publisher | : Springer |
Total Pages | : 376 |
Release | : 2007-12-10 |
Genre | : Mathematics |
ISBN | : 3540758593 |
Download Simplicial Complexes of Graphs Book in PDF, Epub and Kindle
A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.
Author | : Stephen Simons |
Publisher | : Springer Science & Business Media |
Total Pages | : 251 |
Release | : 2008-02-13 |
Genre | : Mathematics |
ISBN | : 1402069189 |
Download From Hahn-Banach to Monotonicity Book in PDF, Epub and Kindle
This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
Author | : Yuliya Mishura |
Publisher | : Springer |
Total Pages | : 411 |
Release | : 2008-04-12 |
Genre | : Mathematics |
ISBN | : 3540758739 |
Download Stochastic Calculus for Fractional Brownian Motion and Related Processes Book in PDF, Epub and Kindle
This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.