Question: Help on Riesz basis Consider the function 1, -Ists1 4 (t ) = 10. 14 1> 1, and set V = Span ({p(t - n)}nez).

Help on Riesz basis

Help on Riesz basis Consider the function 1, -Ists1 4 (t )

Consider the function 1, -Ists1 4 (t ) = 10. 14 1> 1, and set V = Span ({p(t - n)}nez). Is {p(t -n)}nez a Riesz basis for V? Circle one: YES or NO Justification: [HINT: There are multiple approaches to this problem. One approach is to consider the signal given by IN (t) = >(-1)" 4 (t - n), 1=0 where N > 0 is fixed. Recall that by definition, for {4(t-n) ]nez a Riesz basis for V, there must be constants A, B > 0 such that A Clank? = [ampn ( ) S B Clan ?. n=1 n=1 What does EN (t) tell us about A in this case?]

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