兵团
发表于 2025-3-26 23:17:16
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Fsh238
发表于 2025-3-27 01:07:43
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Pituitary-Gland
发表于 2025-3-27 08:02:34
Behavior of Solutions of Convolution Equation at InfinityLet . ∈ .′(ℝ.), . ≠ 0 and . ∈ ..(ℝ.) be a nonzero function satisfying the equation . Then . cannot decrease rapidly on infinity. For instance, if . ∊ .(ℝ.), from (3.1), (1.6.2) we have .. Since . is an entire function the set . is dense nowhere in ℝ.. As . is continuous we obtain . = 0.
讥讽
发表于 2025-3-27 12:09:08
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ADOPT
发表于 2025-3-27 13:48:27
Comments and Open ProblemsConvolution equations and related questions have been studied by many authors (see the survey containing an extensive bibliography, and also , , , –, ).
Ledger
发表于 2025-3-27 18:10:19
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Infant
发表于 2025-3-27 22:39:07
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高贵领导
发表于 2025-3-28 05:45:21
Sets and Mappings. ∈ . with property .. If a set . is subset of . then we write . ⊂ .. We write . = . if . ⊂ . and . ⊂ . Denote by ∉, ≠ the negation for the symbols ∈,=, respectively. As usual 0 denotes the empty set. For arbitrary sets . we denote .. = {. ∈ .: . ∉ .}. If . is a finite set then card . denotes the number of elements of ..
Choreography
发表于 2025-3-28 10:00:49
Distributionscalled a distribution on ., if for each compact set . ⊂ . there exist a constants . > 0, . ∈ ℤ. such that . This means that if the sequence .. ∈ ., . = 1, 2,..., converges in . to the function . then <..> → <.> as . → + ∞.
LINE
发表于 2025-3-28 12:21:48
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