Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Geometric group theory. --- Teoria geomètrica de grups

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Convex geometry. --- Monoids. --- Semigroups --- Geometry --- Geometria convexa --- Monoides --- Semigrups --- Convexitat geomètrica --- Geometria --- Conjunts convexos --- Funcions convexes

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.

Algebra --- Mathematics --- algebra --- wiskunde --- Mathematical analysis. --- Integral Transforms and Operational Calculus. --- Teoria de la mesura geomètrica

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author defines a natural coarse geometric structure on all topological groups. This structure is accessible to investigation, especially in the case of Polish groups, and often has an explicit description, generalising well-known structures in familiar cases including finitely generated discrete groups, compactly generated locally compact groups and Banach spaces. In most cases, the coarse geometric structure is metrisable and may even be refined to a canonical quasimetric structure on the group. The book contains many worked examples and sufficient introductory material to be accessible to beginning graduate students. An appendix outlines several open problems in this young and rich theory.

Geometric group theory. --- Polish spaces (Mathematics) --- Transformation groups. --- Topological groups. --- Teoria geomètrica de grups --- Grups de transformacions --- Grups topològics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Convex geometry. --- Convex functions --- Functions, Convex --- Functions of real variables --- Geometry --- Geometria convexa --- Funcions convexes --- Funcions de variables complexes --- Funcions còncaves --- Convexitat geomètrica --- Geometria --- Conjunts convexos