Citation on heuristic definition of the Dirac delta function

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The wikipedia page on the Dirac delta function offers the following heuristic definition of the Dirac delta function:



$$delta(x) = begincases +infty, & x = 0 \ 0, & x ne 0 endcases$$



whilst acknowledging that the Dirac delta function in fact needs to rigorously defined as either a distribution or a measure. My question is does anyone know of a citation/reference on this in either a textbook or academic journal article?




reference-request definition dirac-delta




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  • This definition of the Dirac $delta$ function surely over half a century old. (I don't know the first reference.)
    – David G. Stork
    Jul 23 at 11:21














up vote
-1
down vote

favorite












The wikipedia page on the Dirac delta function offers the following heuristic definition of the Dirac delta function:



$$delta(x) = begincases +infty, & x = 0 \ 0, & x ne 0 endcases$$



whilst acknowledging that the Dirac delta function in fact needs to rigorously defined as either a distribution or a measure. My question is does anyone know of a citation/reference on this in either a textbook or academic journal article?




reference-request definition dirac-delta




share|cite|improve this question



















  • This definition of the Dirac $delta$ function surely over half a century old. (I don't know the first reference.)
    – David G. Stork
    Jul 23 at 11:21












up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











The wikipedia page on the Dirac delta function offers the following heuristic definition of the Dirac delta function:



$$delta(x) = begincases +infty, & x = 0 \ 0, & x ne 0 endcases$$



whilst acknowledging that the Dirac delta function in fact needs to rigorously defined as either a distribution or a measure. My question is does anyone know of a citation/reference on this in either a textbook or academic journal article?




reference-request definition dirac-delta




share|cite|improve this question











The wikipedia page on the Dirac delta function offers the following heuristic definition of the Dirac delta function:



$$delta(x) = begincases +infty, & x = 0 \ 0, & x ne 0 endcases$$



whilst acknowledging that the Dirac delta function in fact needs to rigorously defined as either a distribution or a measure. My question is does anyone know of a citation/reference on this in either a textbook or academic journal article?





reference-request definition dirac-delta





share|cite|improve this question










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asked Jul 23 at 11:18









7Jack

212113




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  • This definition of the Dirac $delta$ function surely over half a century old. (I don't know the first reference.)
    – David G. Stork
    Jul 23 at 11:21
















  • This definition of the Dirac $delta$ function surely over half a century old. (I don't know the first reference.)
    – David G. Stork
    Jul 23 at 11:21















This definition of the Dirac $delta$ function surely over half a century old. (I don't know the first reference.)
– David G. Stork
Jul 23 at 11:21




This definition of the Dirac $delta$ function surely over half a century old. (I don't know the first reference.)
– David G. Stork
Jul 23 at 11:21










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You can catch a review on "Basic Circuit Theory"



https://www.amazon.com/Basic-Circuit-Theory-Charles-Desoer/dp/0070165750






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    1 Answer
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    active

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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    1
    down vote



    accepted










    You can catch a review on "Basic Circuit Theory"



    https://www.amazon.com/Basic-Circuit-Theory-Charles-Desoer/dp/0070165750






    share|cite|improve this answer

























      up vote
      1
      down vote



      accepted










      You can catch a review on "Basic Circuit Theory"



      https://www.amazon.com/Basic-Circuit-Theory-Charles-Desoer/dp/0070165750






      share|cite|improve this answer























        up vote
        1
        down vote



        accepted







        up vote
        1
        down vote



        accepted






        You can catch a review on "Basic Circuit Theory"



        https://www.amazon.com/Basic-Circuit-Theory-Charles-Desoer/dp/0070165750






        share|cite|improve this answer













        You can catch a review on "Basic Circuit Theory"



        https://www.amazon.com/Basic-Circuit-Theory-Charles-Desoer/dp/0070165750







        share|cite|improve this answer













        share|cite|improve this answer



        share|cite|improve this answer











        answered Jul 23 at 11:37









        Mostafa Ayaz

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