In the span we take all possible integer sets
such that
and
and then for each
we take all possible integer sets
such that
.
For each pair of combinations
and
we form a tensor
product
and take the linear span of such tensor products.
We proceed to calculate dimensionality of
.
In the following
means
.
The constant
might change its meaning in process of calculation. For
we
have
We assume that for
we
have
and show that in
dimensions we
have
We
calculate
Note that
is the size of the mesh
,
see the section (
Wavelet analysis
).
Thus,
.
