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# the results of Bass [2] may be applied because the pre-Hilbert M (x) is a subspace of the Marcinkiewicz space M of sequences in the previous section. To see this, suppose zÎM(x), then

DOI link for the results of Bass [2] may be applied because the pre-Hilbert M (x) is a subspace of the Marcinkiewicz space M of sequences in the previous section. To see this, suppose zÎM(x), then

the results of Bass [2] may be applied because the pre-Hilbert M (x) is a subspace of the Marcinkiewicz space M of sequences in the previous section. To see this, suppose zÎM(x), then book

# the results of Bass [2] may be applied because the pre-Hilbert M (x) is a subspace of the Marcinkiewicz space M of sequences in the previous section. To see this, suppose zÎM(x), then

DOI link for the results of Bass [2] may be applied because the pre-Hilbert M (x) is a subspace of the Marcinkiewicz space M of sequences in the previous section. To see this, suppose zÎM(x), then

the results of Bass [2] may be applied because the pre-Hilbert M (x) is a subspace of the Marcinkiewicz space M of sequences in the previous section. To see this, suppose zÎM(x), then book

## ABSTRACT

J : HN (x) H(x) that preserves inner products and the respective topologies are those induced ( . , . ) N a n d ( . , . ) L 2 .

= VSnx.

Since J is an isometry, V = J-1Ux J is unitary and is given by SN, showing that the N-shift is unitary. |

Having established the Hilbert space isomorphism between HN (X) and the Hilbert space H (x) of a CS(N) random sequence, we can use any of the representations for CS random sequences to produce a corresponding representation for regular CS numerical sequences.