On a class of Fourier integrals
Sbornik. Mathematics, Tome 67 (1990) no. 1, pp. 195-207
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A study is made of weighted wave front sets of generalized functions representable as oscillatory Fourier integrals with phases that are sums of quasihomogeneous functions of different degrees. The integrals of the given form arise in the construction of solutions of a number of characteristic Cauchy problems.
Bibliography: 9 titles.
@article{SM_1990_67_1_a11,
author = {N. A. Shananin},
title = {On a class of {Fourier} integrals},
journal = {Sbornik. Mathematics},
pages = {195--207},
publisher = {mathdoc},
volume = {67},
number = {1},
year = {1990},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1990_67_1_a11/}
}
N. A. Shananin. On a class of Fourier integrals. Sbornik. Mathematics, Tome 67 (1990) no. 1, pp. 195-207. http://geodesic.mathdoc.fr/item/SM_1990_67_1_a11/