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Includes bibliographical references (pages 371-375) and index.
Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic -- Topological Structures; Preface; Contents; 1 Probability Measures on Metric Spaces; 2 The Fourier Transform in a Banach Space; 3 The Structure of Infinitely Divisible Probability Measures; 4 Harmonic Analysis of Convolution Semigroups; 5 Negative Definite Functions and Convolution Semigroups; 6 Probabilistic Properties of Convolution Semigroups; Appendices; Selected References; Symbols; Index.
This book focuses on the algebraic-topological aspects of probabilitytheory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroupsand the corresponding processes with independent increments.
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