Asymptotic expansions of multiple integrals of rapidly oscillating functions

Authors:
T. Iwaniec and A. Lutoborski

Journal:
Math. Comp. **50** (1988), 215-228

MSC:
Primary 41A60

MathSciNet review:
917829

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Abstract: Expansions of multiple integrals

*w*is a function on which is -periodic in the

*k*th variable, , and

*g*is smooth, are given in terms of negative powers of the integers . Estimates of the remainder term in the expansion are also given.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1988-0917829-6

Article copyright:
© Copyright 1988
American Mathematical Society