Regularly log-periodic functions and some applications
classification
🧮 math.PR
keywords
functionslog-periodicregularlyapplicationapplicationsbehaviorcertaindetermine
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We prove a Tauberian theorem for the Laplace--Stieltjes transform and Karamata-type theorems in the framework of regularly log-periodic functions. As an application we determine the exact tail behavior of fixed points of certain type smoothing transforms.
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