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Proceedings of the International Workshop on Small Sets in Analysis
93,70 €
HINDAWI PUBLISHING CORP
Sivumäärä: 368 sivua
Asu: Kovakantinen kirja
Julkaisuvuosi: 2005, 01.10.2005 (lisätietoa)
Kieli: Englanti

This volume contains the refereed proceedings of the International Workshop on Small Sets in Analysis which took place at the Technion - Israel Institute of Technology during the week of June 25-30, 2003. These papers have originally been published in "Abstract and Applied Analysis" and are reproduced in this volume. In recent years there has developed a growing interest in the role of small sets in (infinite-dimensional) analysis. Such sets can be small in several senses, for example, measure-theoretic (Gauss null sets, Haar null sets), topological (sets of the first Baire category), a combination of both (G-null sets), and metric (s-porous sets). These concepts have found application in many areas of analysis, for example, Approximation Theory, the Calculus of Variations, Convexity, Differentiability Theory, Differential Equations, Fourier Analysis, the Geometry of Banach Spaces, Nonlinear Analysis, and Optimization. A glance at the table of contents of this volume will reveal not only a wide spectrum of topics pertaining to small sets of various kinds, but also their diverse applications to Convex Geometry, Infinite-Dimensional Holomorphy, Markov Operator Theory, Mathematical Economics, and Optimal Control Theory. Thus one encounters papers that deal, for instance, with Asplund spaces, continued fractions, derivatives, dimensions of measures, generic wellposedness, infinite products, Lipschitz functions, nearest and farthest points, Polish groups, properties of typical convex sets, Sobolev embeddings, and Suslin sets.

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Proceedings of the International Workshop on Small Sets in Analysis
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ISBN:
9789775945235
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