f******n
发帖数: 176 | 1 I am wondering if anyone can help me with this problem. Thanks!
Suppose \lambda: rapidly decreading functions space \psi_n -> C(R^n) is
continuous and linear, \tau_x\lambda = \lambda\tau_x, where \tau_x is the
shifting operator, for any x in R^n.
Does it follow that there exists u in \psi'_n (all the continuous linear
functional in \psi_n) such that
\lambda \phi = u* \phi, for any \phi in \psi_n?
where * is convolution. |
|
