Hodge Theory In The Sobolev Topology For The De Rham Complex

Hodge Theory In The Sobolev Topology For The De Rham Complex Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Hodge Theory In The Sobolev Topology For The De Rham Complex book. This book definitely worth reading, it is an incredibly well-written.

Hodge Theory in the Sobolev Topology for the de Rham Complex

Luigi Fontana,Steven George Krantz,Marco M. Peloso
Hodge Theory in the Sobolev Topology for the de Rham Complex Book PDF

Author : Luigi Fontana,Steven George Krantz,Marco M. Peloso
Publisher : American Mathematical Society(RI)
Page : 114 pages
File Size : 49,7 Mb
Release : 2014-09-11
Category : MATHEMATICS
ISBN : 1470402114

Get Book

Hodge Theory in the Sobolev Topology for the de Rham Complex by Luigi Fontana,Steven George Krantz,Marco M. Peloso Pdf

In this text, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the L2 topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain.

Hodge Theory in the Sobolev Topology for the de Rham Complex

Luigi Fontana,Steven George Krantz,Marco M. Peloso
Hodge Theory in the Sobolev Topology for the de Rham Complex Book PDF

Author : Luigi Fontana,Steven George Krantz,Marco M. Peloso
Publisher : American Mathematical Soc.
Page : 100 pages
File Size : 45,8 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821808306

Get Book

Hodge Theory in the Sobolev Topology for the de Rham Complex by Luigi Fontana,Steven George Krantz,Marco M. Peloso Pdf

In this book, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the $L^2$ topology. The use of the Sobolev topology strikingly alters the problem from the classical setup and gives rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain. It features: a good introduction to elliptic theory, pseudo-differential operators, and boundary value problems; theorems completely explained and proved; and new geometric tools for differential analysis on domains and manifolds.

Function Spaces

Krzysztof Jarosz
Function Spaces Book PDF

Author : Krzysztof Jarosz
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 42,6 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821809396

Get Book

Function Spaces by Krzysztof Jarosz Pdf

This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, $Lp$ spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm.

Mixed Hodge Structures

Chris A.M. Peters,Joseph H. M. Steenbrink
Mixed Hodge Structures Book PDF

Author : Chris A.M. Peters,Joseph H. M. Steenbrink
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 40,5 Mb
Release : 2008-02-27
Category : Mathematics
ISBN : 9783540770176

Get Book

Mixed Hodge Structures by Chris A.M. Peters,Joseph H. M. Steenbrink Pdf

This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detailed fashion. Then both Hain's and Morgan's approaches to mixed Hodge theory related to homotopy theory are sketched. Next comes the relative theory, and then the all encompassing theory of mixed Hodge modules. The book is interlaced with chapters containing applications. Three large appendices complete the book.

The Siegel Modular Variety of Degree Two and Level Four

Ronnie Lee,Steven H. Weintraub,Jerome William Hoffman
The Siegel Modular Variety of Degree Two and Level Four Book PDF

Author : Ronnie Lee,Steven H. Weintraub,Jerome William Hoffman
Publisher : American Mathematical Soc.
Page : 75 pages
File Size : 44,9 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821806203

Get Book

The Siegel Modular Variety of Degree Two and Level Four by Ronnie Lee,Steven H. Weintraub,Jerome William Hoffman Pdf

The Siegel Modular Variety of Degree Two and Level Four is by Ronnie Lee and Steven H. Weintraub: Let $\mathbf M_n$ denote the quotient of the degree two Siegel space by the principal congruence subgroup of level $n$ of $Sp_4(\mathbb Z)$. $\mathbfM_n$ is the moduli space of principally polarized abelian surfaces with a level $n$ structure and has a compactification $\mathbfM^*_n$ first constructed by Igusa. $\mathbfM^*_n$ is an almost non-singular (non-singular for $n> 1$) complex three-dimensional projective variety (of general type, for $n> 3$). The authors analyze the Hodge structure of $\mathbfM^*_4$, completely determining the Hodge numbers $h^{p,q} = \dim H^{p,q}(\mathbfM^*_4)$. Doing so relies on the understanding of $\mathbfM^*_2$ and exploitation of the regular branched covering $\mathbfM^*_4 \rightarrow \mathbfM^*_2$.""Cohomology of the Siegel Modular Group of Degree Two and Level Four"" is by J. William Hoffman and Steven H. Weintraub. The authors compute the cohomology of the principal congruence subgroup $\Gamma_2(4) \subset S{_p4} (\mathbb Z)$ consisting of matrices $\gamma \equiv \mathbf 1$ mod 4. This is done by computing the cohomology of the moduli space $\mathbfM_4$. The mixed Hodge structure on this cohomology is determined, as well as the intersection cohomology of the Satake compactification of $\mathbfM_4$.

Abelian Galois Cohomology of Reductive Groups

Mikhail Borovoi
Abelian Galois Cohomology of Reductive Groups Book PDF

Author : Mikhail Borovoi
Publisher : American Mathematical Soc.
Page : 50 pages
File Size : 47,7 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821806500

Get Book

Abelian Galois Cohomology of Reductive Groups by Mikhail Borovoi Pdf

In this volume, a new functor $H^2_{ab}(K,G)$ of abelian Galois cohomology is introduced from the category of connected reductive groups $G$ over a field $K$ of characteristic $0$ to the category of abelian groups. The abelian Galois cohomology and the abelianization map$ab^1:H^1(K,G) \rightarrow H^2_{ab}(K,G)$ are used to give a functorial, almost explicit description of the usual Galois cohomology set $H^1(K,G)$ when $K$ is a number field.

Morava K-Theories and Localisation

Mark Hovey,Neil P. Strickland
Morava K Theories and Localisation Book PDF

Author : Mark Hovey,Neil P. Strickland
Publisher : American Mathematical Soc.
Page : 100 pages
File Size : 43,8 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821810798

Get Book

Morava K-Theories and Localisation by Mark Hovey,Neil P. Strickland Pdf

This book is intended for graduate students and research mathematicians working in group theory and generalizations.

Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory

Roland Speicher
Combinatorial Theory of the Free Product with Amalgamation and Operator Valued Free Probability Theory Book PDF

Author : Roland Speicher
Publisher : American Mathematical Soc.
Page : 105 pages
File Size : 55,6 Mb
Release : 1998
Category : Combinatorial analysis
ISBN : 9780821806937

Get Book

Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory by Roland Speicher Pdf

Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of ``freeness''. This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps

Roger D. Nussbaum,Sjoerd M. Verduyn Lunel
Generalizations of the Perron Frobenius Theorem for Nonlinear Maps Book PDF

Author : Roger D. Nussbaum,Sjoerd M. Verduyn Lunel
Publisher : American Mathematical Soc.
Page : 113 pages
File Size : 42,6 Mb
Release : 1999
Category : Mappings
ISBN : 9780821809693

Get Book

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps by Roger D. Nussbaum,Sjoerd M. Verduyn Lunel Pdf

The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control

Shouchuan Hu,Nikolaos Socrates Papageorgiou
Time Dependent Subdifferential Evolution Inclusions and Optimal Control Book PDF

Author : Shouchuan Hu,Nikolaos Socrates Papageorgiou
Publisher : American Mathematical Soc.
Page : 81 pages
File Size : 52,6 Mb
Release : 1998
Category : Mathematics
ISBN : 9780821807798

Get Book

Time-Dependent Subdifferential Evolution Inclusions and Optimal Control by Shouchuan Hu,Nikolaos Socrates Papageorgiou Pdf

This volume studies multivalued evolution equations driven by time-dependent subdifferential operators and optimal control problems for such systems. The formulation is general enough to incorporate problems with time varying constraints. For evolution inclusions, existence relaxation and structural results for the solution set are proved. For optimal control problems, a general existence theory is developed, different forms of the relaxed problem are introduced and studied, well-posedness properties are investigated and the precise relation between the properties of relaxability and well-posedness is established. Various examples of systems which fit in the abstract framework are analyzed.

Treelike Structures Arising from Continua and Convergence Groups

Brian Hayward Bowditch
Treelike Structures Arising from Continua and Convergence Groups Book PDF

Author : Brian Hayward Bowditch
Publisher : American Mathematical Soc.
Page : 86 pages
File Size : 50,5 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821810033

Get Book

Treelike Structures Arising from Continua and Convergence Groups by Brian Hayward Bowditch Pdf

This book is intended for graduate students and research mathematicians working in group theory and generalizations

The Integral Manifolds of the Three Body Problem

Christopher Keil McCord,Kenneth Ray Meyer,Quidong Wang
The Integral Manifolds of the Three Body Problem Book PDF

Author : Christopher Keil McCord,Kenneth Ray Meyer,Quidong Wang
Publisher : American Mathematical Soc.
Page : 91 pages
File Size : 41,7 Mb
Release : 1998
Category : Science
ISBN : 9780821806920

Get Book

The Integral Manifolds of the Three Body Problem by Christopher Keil McCord,Kenneth Ray Meyer,Quidong Wang Pdf

The phase space of the spatial three-body problem is an open subset in ${\mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to 'critical points at infinity'. This disproves Birkhoff's conjecture that the bifurcations occur only at central configurations.

Cutting Brownian Paths

Richard F. Bass,Krzysztof Burdzy
Cutting Brownian Paths Book PDF

Author : Richard F. Bass,Krzysztof Burdzy
Publisher : American Mathematical Soc.
Page : 113 pages
File Size : 48,5 Mb
Release : 1999
Category : Brownian motion processes
ISBN : 9780821809686

Get Book

Cutting Brownian Paths by Richard F. Bass,Krzysztof Burdzy Pdf

A long open problem in probability theory has been the following: Can the graph of planar Brownian motion be split by a straight line? In this volume, the authors provide a solution, discuss related works, and present a number of open problems.

Matching of Orbital Integrals on GL(4) and GSp(2)

Yuval Zvi Flicker
Matching of Orbital Integrals on GL 4 and GSp 2 Book PDF

Author : Yuval Zvi Flicker
Publisher : American Mathematical Soc.
Page : 112 pages
File Size : 54,7 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821809594

Get Book

Matching of Orbital Integrals on GL(4) and GSp(2) by Yuval Zvi Flicker Pdf

The trace formula is the most powerful tool currently available to establish liftings of automorphic forms, as predicted by Langlands principle of functionality. The geometric part of the trace formula consists of orbital integrals, and the lifting is based on the fundamental lemma. The latter is an identity of the relevant orbital integrals for the unit elements of the Hecke algebras. This volume concerns a proof of the fundamental lemma in the classically most interesting case of Siegel modular forms, namely the symplectic group $Sp(2)$. These orbital integrals are compared with those on $GL(4)$, twisted by the transpose inverse involution. The technique of proof is elementary. Compact elements are decomposed into their absolutely semi-simple and topologically unipotent parts also in the twisted case; a double coset decomposition of the form $H\backslash G/K$--where H is a subgroup containing the centralizer--plays a key role.

Algebraic and Strong Splittings of Extensions of Banach Algebras

William G. Bade,Harold G. Dales,Zinaida Alexandrovna Lykova
Algebraic and Strong Splittings of Extensions of Banach Algebras Book PDF

Author : William G. Bade,Harold G. Dales,Zinaida Alexandrovna Lykova
Publisher : American Mathematical Soc.
Page : 129 pages
File Size : 40,7 Mb
Release : 1999
Category : Banach algebras
ISBN : 9780821810583

Get Book

Algebraic and Strong Splittings of Extensions of Banach Algebras by William G. Bade,Harold G. Dales,Zinaida Alexandrovna Lykova Pdf

In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\frak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\frak A$ is a Banach algebra and $I$ is a closed ideal in $\frak A$. The extension splits algebraically (respectively, splits strongly) if there is a homomorphism (respectively, continuous homomorphism) $\theta\: A\rightarrow\frak A$ such that $\pi\circ\theta$ is the identity on $A$. Consider first for which Banach algebras $A$ it is true that every extension of $A$ in a particular class of extensions splits, either algebraically or strongly, and second for which Banach algebras it is true that every extension of $A$ in a particular class which splits algebraically also splits strongly. These questions are closely related to the question when the algebra $\frak A$ has a (strong) Wedderburn decomposition. The main technique for resolving these questions involves the Banach cohomology group $\cal H2(A,E)$ for a Banach $A$-bimodule $E$, and related cohomology groups. Later chapters are particularly concerned with the case where the ideal $I$ is finite-dimensional. Results are obtained for many of the standard Banach algebras $A$.