Asymptotic analysis of oscillatory integrals with the Mittag-Leffler function as an oscillatory kernel

DOI10.1007/S13540-023-00154-3zbMath1522.42024MaRDI QIDQ6050052

Ahmed A. Abdelhakim

Publication date: 12 October 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

stationary phase principleoscillatory integrals asymptoticsVan der Corput Lemma

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15)

Cites Work

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• On the Lebesgue summablility of truncated double Fourier series
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Van der Corput lemmas for Mittag-Leffler functions. II: \(\alpha\)-directions
• Some remarks on the \(L^p\)-\(L^q\) boundedness of trigonometric sums and oscillatory integrals
• Multidimensional van der Corput-type estimates involving Mittag-Leffler functions
• INHOMOGENEOUS STRICHARTZ ESTIMATES
• Mittag-Leffler Functions, Related Topics and Applications
• Classical Fourier Analysis
• - boundedness of integral operators with oscillatory kernels: linear versus quadratic phases

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