Sep 21, 2017 term paper 2

THE COLLECTION FORMS A (COMMUTATIVE) GROUP UNDER POINTWISE MULTIPLICATION. 22 TO CHECK THIS, SHOW…

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The collection

forms a (commutative) group under pointwise multiplication.22 To check this, show the following:

; multiplication of two elementary signals is an elementary signal,

 the identity element t → 1, is an elementary signal, and

  each elementary signal has an inverse.

To reach functions outside of G requires some operation other than just multiplying its elements tog


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