Asymptotic expansions of Fourier transforms of functions with logarithmic singularities

R. Wong; J. F. Lin

doi:10.1016/0022-247X(78)90030-6

Asymptotic expansions of Fourier transforms of functions with logarithmic singularities

R. Wong
, J. F. Lin

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

21 Citations (Scopus)

Abstract

Asymptotic expansion as x → +∞ is obtained for the infinite Fourier integral F(x) = ∝₀ ^∞ f{hook}(t) e^ixt dt, in which f{hook}(t) has a logarithmic singularity of the type t^α-1(-ln t)^β at the origin. Here, Re α > 0 and β is an arbitrary complex number. © 1978.

Original language	English
Pages (from-to)	173-180
Journal	Journal of Mathematical Analysis and Applications
Volume	64
Issue number	1
DOIs	https://doi.org/10.1016/0022-247X(78)90030-6
Publication status	Published - 1 Jun 1978
Externally published	Yes

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title = "Asymptotic expansions of Fourier transforms of functions with logarithmic singularities",

abstract = "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. {\textcopyright} 1978.",

author = "R. Wong and Lin, \{J. F.\}",

year = "1978",

month = jun,

day = "1",

doi = "10.1016/0022-247X(78)90030-6",

language = "English",

volume = "64",

pages = "173--180",

journal = "Journal of Mathematical Analysis and Applications",

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publisher = "Academic Press Inc.",

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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.

UR - https://www.scopus.com/pages/publications/33748723680

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33748723680&origin=recordpage

U2 - 10.1016/0022-247X(78)90030-6

DO - 10.1016/0022-247X(78)90030-6

M3 - RGC 21 - Publication in refereed journal

SN - 0022-247X

VL - 64

SP - 173

EP - 180

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Asymptotic expansions of Fourier transforms of functions with logarithmic singularities

Abstract

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