Prove Idntity - Dirac Delta - Distributions

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SUMMARY

The forum discussion centers around proving an identity related to the Dirac Delta function and distributions, specifically using integration by parts. Participants express difficulty in deriving the denominator required for the proof. One user, Drazic, is welcomed to the discussion, indicating a collaborative environment for problem-solving. Another user mentions having solved a more general identity, promising to share their solution later.

PREREQUISITES
  • Understanding of Dirac Delta function and its properties
  • Familiarity with distributions in mathematical analysis
  • Knowledge of integration techniques, particularly integration by parts
  • Basic skills in mathematical proof techniques
NEXT STEPS
  • Research the properties and applications of the Dirac Delta function
  • Study integration by parts in the context of distributions
  • Explore general identities involving distributions and their proofs
  • Review collaborative problem-solving techniques in mathematical forums
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Mathematicians, physics students, and anyone studying advanced calculus or functional analysis, particularly those interested in distributions and the Dirac Delta function.

Drazick
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Homework Statement


The Identity to prove:
vid7j7.png


Homework Equations


Using Integration by parts



The Attempt at a Solution


I couldn't produce the denominator.
 
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Hi Drazic, welcome to PF!:smile:

Drazick said:

Homework Statement


The Identity to prove:
vid7j7.png


Homework Equations


Using Integration by parts



The Attempt at a Solution


I couldn't produce the denominator.

Post your calculations, and we'll be able to help.
 
I solved more general identity.
I'll post it later.
 

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