TY - JOUR
T1 - Asymptotic expansions of Fourier transforms of functions with logarithmic singularities
AU - Wong, R.
AU - Lin, J. F.
PY - 1978/6/1
Y1 - 1978/6/1
N2 - Asymptotic expansion as x → +∞ is obtained for the infinite Fourier integral F(x) = ∝0
∞ f{hook}(t) eixt dt, in which f{hook}(t) has a logarithmic singularity of the type tα-1(-ln t)β at the origin. Here, Re α > 0 and β is an arbitrary complex number. © 1978.
AB - Asymptotic expansion as x → +∞ is obtained for the infinite Fourier integral F(x) = ∝0
∞ f{hook}(t) eixt dt, in which f{hook}(t) has a logarithmic singularity of the type tα-1(-ln t)β at the origin. Here, Re α > 0 and β is an arbitrary complex number. © 1978.
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U2 - 10.1016/0022-247X(78)90030-6
DO - 10.1016/0022-247X(78)90030-6
M3 - 21_Publication in refereed journal
VL - 64
SP - 173
EP - 180
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -