STRUCTURAL ASPECTS IN THE THEORY ...(V8)

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Focusing on algebraic-topological aspects, this text enhances the understanding of probability theory, particularly regarding continuous convolution semigroups and independent increment processes. It provides a comprehensive discussion on Fourier transformation within Banach spaces and Abelian groups, linking harmonic analysis to stochastic processes. The new edition expands on generalized convolution structures and addresses the central limit problem for various groups, including tori and p-adic groups, offering deeper insights for graduate-level study.