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Canonical Sobolev Projections Of Weak Type 11
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Book Synopsis Canonical Sobolev Projections of Weak Type $(1,1)$ by : Earl Berkson
Download or read book Canonical Sobolev Projections of Weak Type $(1,1)$ written by Earl Berkson and published by American Mathematical Soc.. This book was released on 2001 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $\mathcal S$ be a second order smoothness in the $\mathbb{R} DEGREESn$ setting. We can assume without loss of generality that the dimension $n$ has been adjusted as necessary so as to insure that $\mathcal S$ is also non-degenerate. This title describes how $\mathcal S$ must fit into one of three mutually exclusive cases, and in each of these cases the authors characterize, by a simple intrinsic condition, the second order smoothnesses $\mathcal S$ whose canonical Sobolev projection $P_{\mathcal{S}}$ is of weak type $(1,1)$ in the $\mathbb{R} DEGR
Book Synopsis On the Foundations of Nonlinear Generalized Functions I and II by : Michael Grosser
Download or read book On the Foundations of Nonlinear Generalized Functions I and II written by Michael Grosser and published by American Mathematical Soc.. This book was released on 2001 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In part 1 of this title the authors construct a diffeomorphism invariant (Colombeau-type) differential algebra canonically containing the space of distributions in the sense of L. Schwartz. Employing differential calculus in infinite dimensional (convenient) vector spaces, previous attempts in this direction are unified and completed. Several classification results are achieved and applications to nonlinear differential equations involving singularities are given.
Book Synopsis Handbook of the Geometry of Banach Spaces by :
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2003-05-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of the Geometry of Banach Spaces
Book Synopsis Topological Invariants for Projection Method Patterns by : Alan Forrest
Download or read book Topological Invariants for Projection Method Patterns written by Alan Forrest and published by American Mathematical Soc.. This book was released on 2002 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The projection method refers to patterns, particularly the quasiperiodic patterns, constructed by the projection of a strip of a high dimensional integer lattice to a smaller dimensional Euclidean space. In the first half of the memoir the acceptance domain is very general - any compact set which is the closure of its interior - while in the second half the authors concentrate on the so-called canonical patterns. The topological invariants used are various forms of $K$-theory and cohomology applied to a variety of both $C DEGREES*$-algebras and dynamical systems derived from such a p
Book Synopsis The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems by : Olivier Druet
Download or read book The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems written by Olivier Druet and published by American Mathematical Soc.. This book was released on 2002 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function theory and Sobolev inequalities have been the target of investigation for many years. Sharp constants in these inequalities constitute a critical tool in geometric analysis. The $AB$ programme is concerned with sharp Sobolev inequalities on compact Riemannian manifolds. This text summarizes the results of contemporary research and gives an up-to-date report on the field.
Book Synopsis Extending Intersection Homology Type Invariants to Non-Witt Spaces by : Markus Banagl
Download or read book Extending Intersection Homology Type Invariants to Non-Witt Spaces written by Markus Banagl and published by American Mathematical Soc.. This book was released on 2002 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.
Book Synopsis Segre's Reflexivity and an Inductive Characterization of Hyperquadrics by : Yasuyuki Kachi
Download or read book Segre's Reflexivity and an Inductive Characterization of Hyperquadrics written by Yasuyuki Kachi and published by American Mathematical Soc.. This book was released on 2002 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction The universal pseudo-quotient for a family of subvarieties Normal bundles of quadrics in $X$ Morphisms from quadrics to Grassmannians Pointwise uniform vector bundles on non-singular quadrics Theory of extensions of families over Hilbert schemes Existence of algebraic quotient--proof of Theorem 0.3 Appendix. Deformations of vector bundles on infinitesimally rigid projective varieties with null global $i$-forms References
Book Synopsis Mutual Invadability Implies Coexistence in Spatial Models by : Richard Durrett
Download or read book Mutual Invadability Implies Coexistence in Spatial Models written by Richard Durrett and published by American Mathematical Soc.. This book was released on 2002 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: In (1994) Durrett and Levin proposed that the equilibrium behavior of stochastic spatial models could be determined from properties of the solution of the mean field ordinary differential equation (ODE) that is obtained by pretending that all sites are always independent. Here we prove a general result in support of that picture. We give a condition on an ordinary differential equation which implies that densities stay bounded away from 0 in the associated reaction-diffusion equation, and that coexistence occurs in the stochastic spatial model with fast stirring. Then using biologists' notion of invadability as a guide, we show how this condition can be checked in a wide variety of examples that involve two or three species: epidemics, diploid genetics models, predator-prey systems, and various competition models.
Book Synopsis Noether-Lefschetz Problems for Degeneracy Loci by : Jeroen Spandaw
Download or read book Noether-Lefschetz Problems for Degeneracy Loci written by Jeroen Spandaw and published by American Mathematical Soc.. This book was released on 2003 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the cohomology of degeneracy loci. This title assumes that $E\otimes F DEGREES\vee$ is ample and globally generated, and that $\psi$ is a general homomorphism. In order to study the cohomology of $Z$, it considers the Grassmannian bundle $\pi\colon Y: =\mathbb{G}(f-r, F)\to X$ of $(f-r)$-dimensional linear subspaces of the fibre
Book Synopsis Spectral Decomposition of a Covering of $GL(r)$: the Borel case by : Heng Sun
Download or read book Spectral Decomposition of a Covering of $GL(r)$: the Borel case written by Heng Sun and published by American Mathematical Soc.. This book was released on 2002 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$
Book Synopsis On the Connection between Weighted Norm Inequalities, Commutators and Real Interpolation by : Jesús Bastero
Download or read book On the Connection between Weighted Norm Inequalities, Commutators and Real Interpolation written by Jesús Bastero and published by American Mathematical Soc.. This book was released on 2001 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Calderon weights Applications to real interpolation: reiteration and extrapolation Other classes of weights Extrapolation of weighted norm inequalities via extrapolation theory Applications to function spaces Commutators defined by the K-method Generalized commutators The quasi Banach case Applications to harmonic analysis BMO type spaces associated to Calderon weights Atomic decompositions and duality References.
Book Synopsis The Decomposition and Classification of Radiant Affine 3-Manifolds by : Suhyoung Choi
Download or read book The Decomposition and Classification of Radiant Affine 3-Manifolds written by Suhyoung Choi and published by American Mathematical Soc.. This book was released on 2001 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: An affine manifold is a manifold with torsion-free flat affine connection - a geometric topologist would define it as a manifold with an atlas of charts to the affine space with affine transition functions. This title is an in-depth examination of the decomposition and classification of radiant affine 3-manifolds - affine manifolds of the type that have a holonomy group consisting of affine transformations fixing a common fixed point.
Book Synopsis Limit Theorems for Null Recurrent Markov Processes by : Reinhard Höpfner
Download or read book Limit Theorems for Null Recurrent Markov Processes written by Reinhard Höpfner and published by American Mathematical Soc.. This book was released on 2003 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tilings of the Plane, Hyperbolic Groups and Small Cancellation Conditions by : Milé Krajčevski
Download or read book Tilings of the Plane, Hyperbolic Groups and Small Cancellation Conditions written by Milé Krajčevski and published by American Mathematical Soc.. This book was released on 2001 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for graduate students and research mathematicians interested in group theory and generalizations.
Book Synopsis On the Classification of Polish Metric Spaces Up to Isometry by : Su Gao
Download or read book On the Classification of Polish Metric Spaces Up to Isometry written by Su Gao and published by American Mathematical Soc.. This book was released on 2003 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Representation Theory to Homotopy Groups by : Donald M. Davis
Download or read book From Representation Theory to Homotopy Groups written by Donald M. Davis and published by American Mathematical Soc.. This book was released on 2002 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.
Book Synopsis Triangulations of Oriented Matroids by : Francisco Santos
Download or read book Triangulations of Oriented Matroids written by Francisco Santos and published by American Mathematical Soc.. This book was released on 2002 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the concept of triangulation of an oriented matroid. We provide a definition which generalizes the previous ones by Billera-Munson and by Anderson and which specializes to the usual notion of triangulation (or simplicial fan) in the realizable case. Then we study the relation existing between triangulations of an oriented matroid $\mathcal{M}$ and extensions of its dual $\mathcal{M}^*$, via the so-called lifting triangulations. We show that this duality behaves particularly well in the class of Lawrence matroid polytopes. In particular, that the extension space conjecture for realizable oriented matroids is equivalent to the restriction to Lawrence polytopes of the Generalized Baues problem for subdivisions of polytopes. We finish by showing examples and a characterization of lifting triangulations.
