Some new classes and techniques in the theory of Bernstein functions

DOI10.1007/978-3-030-83309-1_8zbMath1496.60015OpenAlexW4212925177MaRDI QIDQ2080147

Wissem Jedidi, Safa Bridaa, Sonia Fourati

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-83309-1_8

zbMATH Keywords

Bernstein functionssubordinatorsgeneralized gamma convolutionscomplete Bernstein functionspositive stable densityinfinite divisible distributionsThorin Bernstein functions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Processes with independent increments; Lévy processes (60G51) Characteristic functions; other transforms (60E10)

Cites Work

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• Generalized gamma convolutions, Dirichlet means, Thorin measures, with explicit examples
• Generalized gamma convolutions and complete monotonicity
• Generalized gamma convolutions and related classes of distributions and densities
• Introductory lectures on fluctuations of Lévy processes with applications.
• Function spaces related to continuous negative definite functions: ψ-Bessel potential spaces
• VOTRE LÉVY RAMPE-T-IL?
• An extension of Goldie's result and further results in infinite divisibility
• Bernstein functions. Theory and applications

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