Fourier-Laplace transforms decaying exponentially
1988 ◽
Vol 103
(2)
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pp. 321-322
Keyword(s):
Let ƒ(x) be a C-valued function which is integrable with respect to a positive measure m on the Borel σ-field of R = (– ∞, ∞). We shall give necessary and sufficient conditions under which the following Fourier-Laplace transform f(λ) of ƒ(x) decays exponentially as λ → ∞:where θ is a constant with –π/2 ≤ θ ≤ π/2.
1995 ◽
Vol 45
(3-4)
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pp. 195-202
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1958 ◽
Vol 10
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pp. 177-182
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1986 ◽
Vol 23
(04)
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pp. 851-858
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1981 ◽
Vol 91
(1-2)
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pp. 135-145
1965 ◽
Vol 13
(4)
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pp. 1036-1040
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2020 ◽
1980 ◽
Vol 32
(1)
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pp. 1-20
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1960 ◽
Vol 12
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pp. 463-476
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1967 ◽
Vol 19
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pp. 757-763
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