Disk Algebra
In
function theory
, the
disk algebra
is the set of continuous functions
f
:
D
→
C
,
where
D
is the
closed unit disk
in the
complex plane
C
, such that the
restriction
of
f
to the
interior
of
D
is an
analytic function
. This set is an
algebra
over
C
, since if
f
and
g
belong to the disk algebra then so does
fg
. It is a subalgebra of the
Hardy space
H
∞
.
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