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The $AB$ Program in Geometric Analysis: Sharp Sobolev Inequalities and Related Problems

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
Book Rating : 890/5 ( reviews)

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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. This book was released on 2002. 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.

The AB Program in Geometric Analysis

2014-09-11 Riemannian manifolds
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Release : 2014-09-11
Genre : Riemannian manifolds
Kind : eBook
Book Rating : 591/5 ( reviews)

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Book Synopsis The AB Program in Geometric Analysis by : Olivier Druet

Download or read book The AB Program in Geometric Analysis written by Olivier Druet. This book was released on 2014-09-11. Available in PDF, EPUB and Kindle. Book excerpt: Euclidean background Statement of the $AB$ program Some historical motivations The $H^2_1$-inequality--Part I The $H^2_1$-inequality--Part II PDE methods The isoperimetric inequality The $H^p_1$-inequalities, $1

Yang-Mills Measure on Compact Surfaces

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 290/5 ( reviews)

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Book Synopsis Yang-Mills Measure on Compact Surfaces by : Thierry Lévy

Download or read book Yang-Mills Measure on Compact Surfaces written by Thierry Lévy. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: In this memoir we present a new construction and new properties of the Yang-Mills measure in two dimensions. This measure was first introduced for the needs of quantum field theory and can be described informally as a probability measure on the space of connections modulo gauge transformations on a principal bundle. We consider the case of a bundle over a compact orientable surface. Our construction is based on the discrete Yang-Mills theory of which we give a full acount. We are able to take its continuum limit and to define a pathwise multiplicative process of random holonomy indexed by the class of piecewise embedded loops. We study in detail the links between this process and a white noise and prove a result of asymptotic independence in the case of a semi-simple structure group. We also investigate global Markovian properties of the measure related to the surgery of surfaces.

Anisotropic Hardy Spaces and Wavelets

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 26X/5 ( reviews)

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Book Synopsis Anisotropic Hardy Spaces and Wavelets by : Marcin Bownik

Download or read book Anisotropic Hardy Spaces and Wavelets written by Marcin Bownik. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the anisotropic Hardy spaces associated with very general discrete groups of dilations. This book includes the classical isotropic Hardy space theory of Fefferman and Stein and parabolic Hardy space theory of Calderon and Torchinsky.

Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 19X/5 ( reviews)

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Book Synopsis Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines by : Hagen Meltzer

Download or read book Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines written by Hagen Meltzer. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.

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