Numerical Control over Complex Analytic Singularities

Numerical Control over Complex Analytic Singularities
Title Numerical Control over Complex Analytic Singularities PDF eBook
Author David B. Massey
Publisher American Mathematical Soc.
Pages 288
Release 2003
Genre Mathematics
ISBN 0821832808

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Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.

Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation

Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation
Title Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation PDF eBook
Author Benoît Mselati
Publisher American Mathematical Soc.
Pages 146
Release 2004
Genre Mathematics
ISBN 0821835092

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Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups

The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups
Title The Maximal Subgroups of Positive Dimension in Exceptional Algebraic Groups PDF eBook
Author Martin W. Liebeck
Publisher American Mathematical Soc.
Pages 242
Release 2004
Genre Mathematics
ISBN 0821834827

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Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.

The Mathematical Legacy of Leon Ehrenpreis

The Mathematical Legacy of Leon Ehrenpreis
Title The Mathematical Legacy of Leon Ehrenpreis PDF eBook
Author Irene Sabadini
Publisher Springer Science & Business Media
Pages 391
Release 2012-04-23
Genre Mathematics
ISBN 8847019478

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Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.

Self-Similarity and Multiwavelets in Higher Dimensions

Self-Similarity and Multiwavelets in Higher Dimensions
Title Self-Similarity and Multiwavelets in Higher Dimensions PDF eBook
Author Carlos A Cabrelli
Publisher American Mathematical Soc.
Pages 98
Release 2004
Genre Mathematics
ISBN 0821835203

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Let $A$ be a dilation matrix, an$n \times n$ expansive matrix that maps a full-rank lattice $\Gamma \subset \R DEGREESn$ into itself. Let $\Lambda$ be a finite subset of$\Gamma$, and for $k \in \Lambda$ let $c_k$ be $r \times r$ complex ma

Methods in the Theory of Hereditarily Indecomposable Banach Spaces

Methods in the Theory of Hereditarily Indecomposable Banach Spaces
Title Methods in the Theory of Hereditarily Indecomposable Banach Spaces PDF eBook
Author Spiros Argyros
Publisher American Mathematical Soc.
Pages 128
Release 2004
Genre Mathematics
ISBN 0821835211

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A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.

Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance

Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance
Title Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance PDF eBook
Author Marc Aristide Rieffel
Publisher American Mathematical Soc.
Pages 106
Release 2004
Genre Mathematics
ISBN 0821835181

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By a quantum metric space we mean a $C DEGREES*$-algebra (or more generally an order-unit space) equipped with a generalization of the usual Lipschitz seminorm on functions which one associates to an ordinary metric. We develop for compact quantum metric spaces a version of Gromov-Hausdorff di