Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic - Topological Structures
Herbert Heyer
Gebundenes Buch

Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic - Topological Structures

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This book focuses on the algebraic-topological aspects of probability theory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. The method applied within the setting of Banach spaces and of locally compact Abelian groups is that of the Fourier transform. This analytic tool along with the relevant parts of harmonic analysis makes it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their s...