# Highly Nonlinear Approximations for Sparse Signal Representation

## Normed vector space

A **norm** on a vector space
is a function from
to
such that for every
and
the
following three properties are fulfilled

- and .

**normed vector space**.

A **norm** on a vector space
is a function from
to
such that for every
and
the
following three properties are fulfilled

- and .