Contents V.2, N.1, 2011

  • ON A HEIGHT OF SMOOTH FUNCTIONS WITH MULTIPLECOMPONENTS
    I. A. IKROMOV, A. SOLEEV (pp. 66-73)

    • Abstract.

    In the paper we consider estimates for height of the smooth phase function whichis a product of few smooth functions. We prove that the height of functions is not large thansum of heights of its factors and show that it is strictly less than sum of heights of factors forsome class of functions.

    Keywords:

    oscillatory integral, Newton polygon, adapted coordinates system.

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