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Statements
⟨
f
,
ϕ
⟩
=
∑
s
=
0
n
-
1
a
s
⟨
t
-
s
-
α
,
ϕ
⟩
-
∑
s
=
1
n
c
s
⟨
δ
(
s
-
1
)
,
ϕ
⟩
+
⟨
f
n
,
ϕ
⟩
distribution
𝑓
italic-ϕ
superscript
subscript
𝑠
0
𝑛
1
subscript
𝑎
𝑠
distribution
superscript
𝑡
𝑠
𝛼
italic-ϕ
superscript
subscript
𝑠
1
𝑛
subscript
𝑐
𝑠
distribution
Dirac-delta
𝑠
1
italic-ϕ
distribution
subscript
𝑓
𝑛
italic-ϕ
{\displaystyle{\displaystyle{\left\langle f,\phi\right\rangle}=\sum_{s=0}^{n-1%
}a_{s}\left\langle t^{-s-\alpha},\phi\right\rangle-\sum_{s=1}^{n}c_{s}\left%
\langle{\delta^{(s-1)}},\phi\right\rangle+\left\langle f_{n},\phi\right\rangle}}
δ
(
x
-
a
)
Dirac-delta
𝑥
𝑎
{\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
⟨
Λ
,
ϕ
⟩
distribution
Λ
italic-ϕ
{\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right%
\rangle}}
c
≠
0
𝑐
0
{\displaystyle{\displaystyle c\neq 0}}
f
(
t
)
𝑓
𝑡
{\displaystyle{\displaystyle f(t)}}
a
n
subscript
𝑎
𝑛
{\displaystyle{\displaystyle a_{n}}}
n
𝑛
{\displaystyle{\displaystyle n}}
f
n
,
n
(
t
)
subscript
𝑓
𝑛
𝑛
𝑡
{\displaystyle{\displaystyle f_{n,n}(t)}}
Identifiers
