<s>
In	O
functional	B-Application
analysis	I-Application
,	O
a	O
branch	O
of	O
mathematics	O
,	O
a	O
Beppo	O
Levi	O
space	O
,	O
named	O
after	O
Beppo	O
Levi	O
,	O
is	O
a	O
certain	O
space	O
of	O
generalized	O
functions	O
.	O
</s>
<s>
In	O
the	O
following	O
,	O
is	O
the	O
space	O
of	O
distributions	O
,	O
is	O
the	O
space	O
of	O
tempered	O
distributions	O
in	O
,	O
the	O
differentiation	O
operator	O
with	O
a	O
multi-index	O
,	O
and	O
is	O
the	O
Fourier	B-Algorithm
transform	I-Algorithm
of	O
.	O
</s>
<s>
Then	O
is	O
the	O
Beppo-Levi	B-Algorithm
space	I-Algorithm
.	O
</s>
