<s>
In	O
mathematics	O
,	O
Malgrange	B-Algorithm
–	I-Algorithm
Zerner	I-Algorithm
theorem	I-Algorithm
(	O
named	O
for	O
Bernard	O
Malgrange	O
and	O
Martin	O
Zerner	O
)	O
shows	O
that	O
a	O
function	O
on	O
allowing	O
holomorphic	O
extension	O
in	O
each	O
variable	O
separately	O
can	O
be	O
extended	O
,	O
under	O
certain	O
conditions	O
,	O
to	O
a	O
function	O
holomorphic	O
in	O
all	O
variables	O
jointly	O
.	O
</s>
<s>
This	O
theorem	O
can	O
be	O
seen	O
as	O
a	O
generalization	O
of	O
Bochner	B-Algorithm
's	I-Algorithm
tube	I-Algorithm
theorem	I-Algorithm
to	O
functions	O
defined	O
on	O
tube-like	O
domains	O
whose	O
base	O
is	O
not	O
an	O
open	O
set	O
.	O
</s>
