Estimates for Mittag-Leffler functions with smooth phase depending on two variables

2022/05/23 by Akbar R. Safarov, Safarov, Akbar R.
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2205.13413

openalex publication_date 2022/05/23 · openalex created_date 2022/06/13 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the problem on estimates for Mittag-Leffler functions with the smooth phase functions of two variables having singularities of type D_∞ , D₄^± and A_r. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type integrals. We extend results of paper \citeRuzhansky and \citeRuzhansky2021 to two-dimensional integrals with phase having some simple singularities.

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