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The theory of the Lebesgue integral is still considered as a difficult theory, no matter whether it is based the concept of measure or introduced by other methods. The primary aim …
One hundred years ago (1904) Hermann Minkowski [58] posed a problem: to re- 2 construct an even function I on the sphere 8 from knowledge of the integrals MI (C) = fc Ids over big …
Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models …
Der dritte und letzte Band dieser Reihe ist der Integrationstheorie und den Grundlagen der globalen Analysis gewidmet. Es wird wiederum viel Wert auf einen modernen und klaren …
This volume is a thorough and comprehensive treatise on vector measures, treating the vectorial Radon integration in detail. It explores an interplay between, on the one side, …
The title High Dimensional Probability is an attempt to describe the many trib- utaries of research on Gaussian processes and probability in Banach spaces that started in the early …
On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining …
This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst …