e already
introduced the mesh
in the previous section.
Given
,
the index
is called the "location index" and the index
is called the "scale" index.
Note
that
We introduce the notations
,
,
,
,
:
Note
that
Read the above
"
spt
(see
)
iff
spt
(see
)".
Consequently
Similarly,
We
conclude


(Property of scale and transport 1)

In
addition,


(Property of scale and transport 2)



(Property of scale and transport 3)

In the following sections we frequently use Fourier transform
as well as the operations
.
We investigate the
interaction:


(Property of scale and transport 4)

We make a change
,


(Property of scale and transport 5)



(Property of scale and transport 6)

We investigate transposition of
and
:


(Property of scale and transport 7)

