One approach to the computation of asymptotics of integrals of rapidly varying functions

DOI10.1134/S0001434618050048zbMath1397.42004OpenAlexW2811033914WikidataQ129617228 ScholiaQ129617228MaRDI QIDQ1668061

Anna V. Tsvetkova, S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618050048

zbMATH Keywords

asymptoticsabstract stationary phase method

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (1)

Asymptotic expansions for a class of singular integrals emerging in non-linear wave systems

Cites Work

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• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems
• Representations of rapidly decaying functions by the Maslov canonical operator
• Asymptotic expansions for some integrals of quotients with degenerated divisors
• Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
• Averaging of linear operators, adiabatic approximation, and pseudodifferential operators

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