Integrationstheorie

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The first part in this thorough textbook is devoted to continuity properties, culminating in the theorems of Korovikin and Stone-Weierstrass. The last part consists of extensions and applications of the Fourier theory, for example the Wilbraham-Gibbs phenomenon, the Hausdorff-Yo…

"The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequaliti…