FOURIER AND CAUCHY–STIELTJES TRANSFORMS OF POWER LAWS INCLUDING STABLE DISTRIBUTIONS
DOI10.1142/S0129167X12500413zbMath1237.60015arXiv1107.3874OpenAlexW2963708041MaRDI QIDQ5389538
Publication date: 21 April 2012
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.3874
Fourier transformDiophantine approximationstable distributionnoncommutative probabilityCauchy-Stieltjes transform
Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54) Power series (including lacunary series) in one complex variable (30B10) Noncommutative probability and statistics (46L53)
Cites Work
- On extrema of stable processes
- A convergent series representation for the density of the supremum of a stable process
- Strict limit types for monotone convolution
- Addition of freely independent random variables
- Stable laws and domains of attraction in free probability theory
- MONOTONE CONVOLUTION AND MONOTONE INFINITE DIVISIBILITY FROM COMPLEX ANALYTIC VIEWPOINT
- MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
- Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
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