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2 results

  • Uniform Linear Bound in Chevalley’s Lemma

  • J. Adamus, E. Bierstone, P. D. Milman
  • Journal:
    Canadian Journal of Mathematics / Volume 60 / Issue 4 / 01 August 2008
    Published online by Cambridge University Press:
    20 November 2018, pp. 721-733
    Print publication:
    01 August 2008
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  • We obtain a uniform linear bound for the Chevalley function at a point in the source of an analytic mapping that is regular in the sense of Gabrielov. There is a version of Chevalley’s lemma also along a fibre, or at a point of the image of a proper analytic mapping. We get a uniform linear bound for the Chevalley function of a closed Nash (or formally Nash) subanalytic set.

  • Residue Integrals and their Mellin Transforms

  • Mikael Passare, August Tsikh
  • Journal:
    Canadian Journal of Mathematics / Volume 47 / Issue 5 / 01 October 1995
    Published online by Cambridge University Press:
    20 November 2018, pp. 1037-1050
    Print publication:
    01 October 1995
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  • Given an almost arbitrary holomorphic map we study the structure of the associated residue integral and its Mellin transform, and the relation between these two objects. More precisely, we relate the limit behaviour of the residue integral to the polar structure of the Mellin transform. We consider also ideals connected to nonisolated singularities.