Understanding Equality in Convolution: A Scientist's Perspective

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SUMMARY

The discussion centers on the concept of equality in convolution, specifically questioning its validity in a given context. The participant, SNES, emphasizes that the equality is generally not true without additional context. The conversation highlights the need for clarity regarding the conditions under which convolution equality holds, indicating that understanding the underlying principles is crucial for accurate application.

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  • Understanding of convolution in signal processing
  • Familiarity with mathematical proofs and inequalities
  • Knowledge of the context in which convolution is applied
  • Basic principles of functional analysis
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Mathematicians, signal processing engineers, and students studying convolution and its applications in various fields.

SNES
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Hello.

I can't figure out why the equality in the attached file is true.
Please, could you help me?

Thank you.
SNES
 

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  • eqn.jpg
    eqn.jpg
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In general it's not. What is the context?
 
EnumaElish said:
In general it's not. What is the context?
Convolution?
 

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