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ISBN
:
9789812389374
Publisher
:
World Scientific Publishing Company
Subject
:
Mathematics
Binding
:
HARDCOVER
Pages
:
400
Year
:
2004
₹
19022.0
₹
16358.0
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View DetailsDescription
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 state spaces. Graduate students, lecturers and researchers may use the book as a primer in the theory of probability measures on groups and related structures.
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