TY - JOUR
T1 - Asymptotic expansions of multiple integrals of rapidly oscillating functions
AU - Iwaniec, T.
AU - Lutoborski, A.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1988/1
Y1 - 1988/1
N2 - Expansions of multiple integrals ʃa1b1…ʃan bn w(σ1x1, …. σnxn)g(x1, …., xn)dx1….dxn, where w is a function on R" which is (bk - oj,)-periodic in the fcth variable, k = 1, …, n, and g is smooth, are given in terms of negative powers of the integers o\,. . , an. Estimates of the remainder term in the expansion are also given.
AB - Expansions of multiple integrals ʃa1b1…ʃan bn w(σ1x1, …. σnxn)g(x1, …., xn)dx1….dxn, where w is a function on R" which is (bk - oj,)-periodic in the fcth variable, k = 1, …, n, and g is smooth, are given in terms of negative powers of the integers o\,. . , an. Estimates of the remainder term in the expansion are also given.
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U2 - 10.1090/S0025-5718-1988-0917829-6
DO - 10.1090/S0025-5718-1988-0917829-6
M3 - Article
AN - SCOPUS:84966206819
SN - 0025-5718
VL - 50
SP - 215
EP - 228
JO - Mathematics of Computation
JF - Mathematics of Computation
IS - 181
ER -