based on the completeness of the
functions
in one dimension using the following procedure:
in one dimension to
expand a general function of two variables
in terms of the
and a set of functions
of y,
Explain briefly why the completeness of the
allows you
to do this. Give an expression for the functions
in terms of an integral involving
and
.
,

Explain briefly why the completeness of the
allows you
to do this. Give an expression for the constants
in terms of an integral involving the
and the
.
into your
original expansion (2) to show as required that any
function
may be written

Also, show that the expansion coefficients
you
derived in the previous step are precisely the same as those you wrote
down in e).