Probability in Banach spaces : stable and infinitely divisible distributions
著者
書誌事項
Probability in Banach spaces : stable and infinitely divisible distributions
Wiley, 1986
Licensed ed
- タイトル別名
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Infinitely divisible and stable measures on Banach spaces
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注記
Originally published as Infinitely divisible and stable measures on Banach spaces. 1 Aufl. Leipzig : B.G. Teubner Verlagsgesellschaft, c1983
"A Wiley-Interscience publication."
Bibliography: p. [177]-188
Includes indexes
内容説明・目次
内容説明
This book is devoted to the study of stable measures on Banach spaces. The first part presents the classical approach via infinitely divisible measures (the Levy-Khinchin representation) and establishes some general properties of stable measures, such as Levy's spectral representation and the tail behaviour of stable measures. The second part is devoted to a comparatively new functional analytic approach, and an investigation is made of operators T from E' to Lp which generate p-stable symmetric measures on the Banach space E.
目次
- Preface
- Basic Notations
- Weak Convergence of Radon Measures
- Convolution and Weak Topology
- Banach Spaces and Operators
- Cylindrical Measures
- Infinitely Divisible Measures on Banach Spaces
- Stable Measures on Banach Spaces
- Operators and Stable Symmetric Measures
- Estimates Between Stable Symmetric Measures
- Bibliography
- Index of Symbols
- Index of Subjects.
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