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Structural Aspects in the Theory of Probability
The book is conceived as a text accompanying the traditional graduate courses on probability theory. An important feature of this enlarged version is the emphasis on algebraic-topological aspects 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. |
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Tags: within, applied, settings, Banach, spaces, Structural, Theory, Probability, Aspects, theorems |
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Structural Aspects in the Theory of Probability
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. |
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Tags: Banach, spaces, locally, setting, within, Structural, Theory, Aspects, applied |