Some Properties of Regularly Varying Functions and Series in the Orthant

DOI10.1007/978-3-030-76829-4_20zbMath1483.26013OpenAlexW3196609302MaRDI QIDQ5014534

Arsen L. Yakymiv

Publication date: 8 December 2021

Published in: Operator Theory and Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-76829-4_20

zbMATH Keywords

limit theoremmultiple power series distributionsregularly varying functions and series in orthant

Mathematics Subject Classification ID

Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Cites Work

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• Domains of attraction and regular variation in \({\mathbb{R}}^ d\)
• Derivatives of regularly varying functions in \(R^d\) and domains of attraction of stable distributions
• New results on slowly varying functions in the Zygmund sense
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• On the distribution of multiple power series regularly varying at the boundary point
• A Tauberian theorem for multiple power series
• Multidimensional Tauberian theorems for generalized functions
• MULTIDIMENSIONAL TAUBERIAN THEOREMS AND THEIR APPLICATION TO BELLMAN-HARRIS BRANCHING PROCESSES
• Abelian Theorem for the Regularly Varying Measure and Its Density in Orthant
• Probabilistic Applications of Tauberian Theorems
• Regularly varying functions

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