Titlebook: Stochastic Methods for Modeling and Predicting Complex Dynamical Systems; Uncertainty Quantifi Nan Chen Textbook 2023 The Editor(s) (if app

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Nan Chenls of the line. Section 17 is severely classical, containing examples and L. famous theorem on differentiation of functions of finite variation. In § 18, we explore the conditions under which the classical equality . is valid. This exploration leads to interesting and perhaps unexpected measure-theo

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Nan Chenous importance in analysis as well as in its applications. We have already, in § 7, considered spaces whose points are functions. In § 7, we considered only the uniform norm ‖‖. [see (7.3)] to define the distance between two functions. The present chapter is concerned with norms that are defined in