e start from a set
and a function
:
for a given vector
and
and
We introduce the notation
for the set of scales in the definition of
,
the
notation
for the set of translations, the notation
for the intervals of integration and the
notation
for multiindexes.
We fix
and concentrate on calculating
where
1.
Form
2. Let
be a onetoone onto mapping:
for some
.
For every
we form the
subdomain
and the set
of vertices of
.
For each pair
we calculate
Let
be a onetoone onto
mapping:
for some
,
where
Let
be a onetoone onto
mapping:
for some
,
where
Thus
indexes boundary subdomains and
indexes internal subdomains.
3. We
introduce
4. For every
we
form
and
calculate
5. For every
we
form
and calculate
as
follows:
where we adopt the
convention
and calculate
recursively in
as follows.
For
,
For
,
,
,
where
For
,
,
,
For
,
,
,
For
,
,
,
where
For
,
,
,
For
,
,
,
