Resolution of singularities, asymptotic expansions of oscillatory integrals, and related phenomena

dc.creatorGreenblatt, Michael
dc.date2007-09-16
dc.date2008-09-21
dc.date.accessioned2026-07-07T10:03:51Z
dc.date.available2026-07-07T10:03:51Z
dc.descriptionThe elementary resolution of singularities algorithm of the author's earlier paper (math.CA/0609217) is developed further, replacing the quasibump functions in the blown up coordinates with the characteristic function of a rectangle times a smooth function. Such functions are easier to deal with, and as application the existence of asymptotic expansions for oscillatory integrals and related objects is given an elementary proof. In addition, some more detailed information about these expansions is given.
dc.description23 pages, v2 new title and a few minor changes
dc.identifierhttps://arxiv.org/abs/0709.2496
dc.identifierhttp://arxiv.org/abs/0709.2496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169449
dc.subjectClassical Analysis and ODEs
dc.titleResolution of singularities, asymptotic expansions of oscillatory integrals, and related phenomena
dc.typetext

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