Transformation de Mellin et développements asymptotiques

zbMath0436.46031MaRDI QIDQ1140829

Pierre Jeanquartier

Publication date: 1979

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

Mellin transformasymptotic expansioncritical valueanalytic continuationmeromorphiccurrents on analytic manifoldstheorems of Paley-Wiener type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Currents in global analysis (58A25)

Related Items (18)

Integral transforms of generalized functions ⋮ Local geometry of singular real analytic surfaces ⋮ Mellin operators in the edge calculus ⋮ Pseudo-differential operators with operator-valued symbols in the Mellin- edge- approach ⋮ Mellin Operators with Asymptotics on Manifolds with Corners ⋮ The Iterative Structure of the Corner Calculus ⋮ Propagation de l'analycité le long d'une bicaractéristique réelle pour un opérateur totalement caractéristique. (Propagation of analyticity along a real bicharacteristic for a totally characteristic operator) ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Mellin and Green pseudodifferential operators associated with non-compact edges ⋮ Calculus on spaces with higher singularities ⋮ Zeta functions for the Riemann zeros. ⋮ Asymptotic expansion of complex integrals via Mellin transform ⋮ Functional analysis in cone and edge Sobolev spaces ⋮ Order filtrations of the edge algebra ⋮ Holomorphic corner symbols ⋮ On some weighted Hardy type classes of one-parametric holomorphic functions. I: Function properties and Mellin transforms ⋮ On asymptotic approximations of the residual currents ⋮ Boundary integral operators on curved polygons

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