Proposition
(Existence of biorthogonal basis
1) If
has the
property


(Frame formula 1)

then there exists a biorthogonal basis
with the function
given
by
Proposition
(Frame property 2)
1. If a function
satisfies the formula (
Frame formula 1
) then
there exist
such that
we
have


(Riesz property)

2. If a function
has compact support and
satisfies the formula (
Riesz property
) then it
satisfies the formula (
Frame formula 1
).
