Dimensionality Reducing by Alpha-Dense Curves ... - RUA

Theorem
Let A be an arbitrary constant, the Heaviside function and an arbitrary
bijective function of class with . Let M be positive, consider the numbers:
Thus, for each the formula
and
for any x� I and arbitrary , defines an M.P.O. on the closed ball
on the space . Furthermore
i) in the level set , constant,
ii) all the minimizers, nonnull, of are in the level set .