The Defect Relation Of Meromorphic Maps On Parabolic Manifolds

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The Defect Relation Of Meromorphic Maps On Parabolic Manifolds

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Author : George Lawrence Ashline
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

The Defect Relation Of Meromorphic Maps On Parabolic Manifolds written by George Lawrence Ashline and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.

The Defect Relation For Meromorphic Maps Defined On Covering Parabolic Manifolds

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Author : Emmanuel Theodore Bardis
language : en
Publisher:
Release Date : 1990

The Defect Relation For Meromorphic Maps Defined On Covering Parabolic Manifolds written by Emmanuel Theodore Bardis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

The Dirichlet Problem For Parabolic Operators With Singular Drift Terms

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Author : Steve Hofmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

The Dirichlet Problem For Parabolic Operators With Singular Drift Terms written by Steve Hofmann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This memoir considers the Dirichlet problem for parabolic operators in a half space with singular drift terms. Chapter I begins the study of a parabolic PDE modelled on the pullback of the heat equation in certain time varying domains considered by Lewis-Murray and Hofmann-Lewis. Chapter II obtains mutual absolute continuity of parabolic measure and Lebesgue measure on the boundary of this halfspace and also that the $L DEGREESq(R DEGREESn)$ Dirichlet problem for these PDEs has a solution when $q$ is large enough. Chapter III proves an analogue of a theorem of Fefferman, Kenig, and Pipher for certain parabolic PDEs with singular drift terms. Each of the chapters that comprise this memoir has its own numbering system and list

Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition

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Author : Min Ru
language : en
Publisher: World Scientific
Release Date : 2021-03-10

Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition written by Min Ru and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.

This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.

Value Distribution Theory For Meromorphic Maps

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Author : Wilhelm Stoll
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Value Distribution Theory For Meromorphic Maps written by Wilhelm Stoll and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.

Value distribution theory studies the behavior of mermorphic maps. Let f: M - N be a merom orphic map between complex manifolds. A target family CI ~ (Ea1aEA of analytic subsets Ea of N is given where A is a connected. compact complex manifold. The behavior of the inverse 1 family ["'(CI) = (f- {E )laEA is investigated. A substantial theory has been a created by many contributors. Usually the targets Ea stay fixed. However we can consider a finite set IJ of meromorphic maps g : M - A and study the incidence f{z) E Eg(z) for z E M and some g E IJ. Here we investigate this situation: M is a parabolic manifold of dimension m and N = lP n is the n-dimensional projective space. The family of hyperplanes in lP n is the target family parameterized by the dual projective space lP* We obtain a Nevanlinna theory consisting of several n First Main Theorems. Second Main Theorems and Defect Relations and extend recent work by B. Shiffman and by S. Mori. We use the Ahlfors-Weyl theory modified by the curvature method of Cowen and Griffiths. The Introduction consists of two parts. In Part A. we sketch the theory for fixed targets to provide background for those who are familar with complex analysis but are not acquainted with value distribution theory.

Periodic Hamiltonian Flows On Four Dimensional Manifolds

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Author : Yael Karshon
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Periodic Hamiltonian Flows On Four Dimensional Manifolds written by Yael Karshon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in global analysis, analysis on manifolds, and symplectic geometry.

Splitting Theorems For Certain Equivariant Spectra

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Author : L. Gaunce Lewis
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Splitting Theorems For Certain Equivariant Spectra written by L. Gaunce Lewis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in algebraic topology.

Sobolev Met Poincare

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Author : Piotr Hajłasz
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Sobolev Met Poincare written by Piotr Hajłasz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

There are several generalizations of the classical theory of Sobolev spaces as they are necessary for the applications to Carnot-Caratheodory spaces, subelliptic equations, quasiconformal mappings on Carnot groups and more general Loewner spaces, analysis on topological manifolds, potential theory on infinite graphs, analysis on fractals and the theory of Dirichlet forms. The aim of this paper is to present a unified approach to the theory of Sobolev spaces that covers applications to many of those areas. The variety of different areas of applications forces a very general setting. We are given a metric space $X$ equipped with a doubling measure $\mu$. A generalization of a Sobolev function and its gradient is a pair $u\in L^{1}_{\rm loc}(X)$, $0\leq g\in L^{p}(X)$ such that for every ball $B\subset X$ the Poincare-type inequality $ \intbar_{B} u-u_{B} \, d\mu \leq C r ( \intbar_{\sigma B} g^{p}\, d\mu)^{1/p}\,$ holds, where $r$ is the radius of $B$ and $\sigma\geq 1$, $C>0$ are fixed constants. Working in the above setting we show that basically all relevant results from the classical theory have their counterparts in our general setting. These include Sobolev-Poincare type embeddings, Rellich-Kondrachov compact embedding theorem, and even a version of the Sobolev embedding theorem on spheres. The second part of the paper is devoted to examples and applications in the above mentioned areas.

Existence Of The Sectional Capacity

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Author : Robert Rumely
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Existence Of The Sectional Capacity written by Robert Rumely and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

In the case where the norms are induced by metrics on the fibres of ${\mathcal L}$, we establish the functoriality of the sectional capacity under base change, pullbacks by finite surjective morphisms, and products. We study the continuity of $S Gamma(\overline{\mathcal L})$ under variation of the metric and line bundle, and we apply this to show that the notion of $v$-adic sets in $X(\mathbb C v)$ of capacity $0$ is well-defined. Finally, we show that sectional capacities for arbitrary norms can be well-approximated using objects of finite type.

Wandering Solutions Of Delay Equations With Sine Like Feedback

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Author : Bernhard Lani-Wayda
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Wandering Solutions Of Delay Equations With Sine Like Feedback written by Bernhard Lani-Wayda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in mechanics of particle systems.