Asymptotic expansion of complex integrals via Mellin transform

DOI10.1016/0022-1236(89)90020-7zbMath0707.32003OpenAlexW2036359977MaRDI QIDQ919496

Daniel Barlet, Henri-Michel Maire

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90020-7

zbMATH Keywords

currentsholomorphic functionAsymptotic expansioncomplex Mellin transformsMeromorphic extensions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Integration on analytic sets and spaces, currents (32C30)

Related Items (8)

Interaction de strates consécutives pour les cycles évanescents ⋮ Interaction of consecutive strata. II ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Chow transformation of coherent sheaves ⋮ Interaction of consecutive strata. III: The case of eigenvalue 1 ⋮ Un cas d'indépendance des courants polaires de $f\sp{\lambda{} + m} f\sp{\lambda{} - m}$ ⋮ Regularizations of residue currents ⋮ On asymptotic approximations of the residual currents

Cites Work

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• Transformation de Mellin et développements asymptotiques
• B-functions and holonomic systems. Rationality of roots of B-functions
• Développement asymptotique des fonctions obtenues par intégration sur les fibres
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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