Let f be any distribution. Verify that the functional f

Chapter 12, Problem 2

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QUESTION:

Let f be any distribution. Verify that the functional f dened by (f,)= (f, ) satises the linearity and continuity properties and therefore is another distribution.

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QUESTION:

Let f be any distribution. Verify that the functional f dened by (f,)= (f, ) satises the linearity and continuity properties and therefore is another distribution.

ANSWER:

Step 1 of 3

Let f be an arbitrary function. Let the functional defined by  be

                             

Prove that it is linear

 

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