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  1. definition - What is Convolution? - Mathematics Stack Exchange

    Sep 6, 2015 · 3 The definition of convolution is known as the integral of the product of two functions $$ (f*g) (t)\int_ {-\infty}^ {\infty} f (t -\tau)g (\tau)\,\mathrm d\tau$$ But what does the …

  2. Meaning of convolution? - Mathematics Stack Exchange

    Oct 26, 2010 · I am currently learning about the concept of convolution between two functions in my university course. The course notes are vague about what convolution is, so I was …

  3. What is convolution, how does it relate to inner product?

    Oct 25, 2022 · My final question is: what is the intuition behind convolution? what is its relation with the inner product? I would appreciate it if you include the examples I gave above and …

  4. Can someone intuitively explain what the convolution integral is?

    Lowercase t-like symbol is a greek letter "tau". Here it represents an integration (dummy) variable, which "runs" from lower integration limit, "0", to upper integration limit, "t". So, the convolution …

  5. What is the convolution of a function $f$ with a delta function …

    Sep 12, 2024 · Explore related questions convolution dirac-delta See similar questions with these tags.

  6. real analysis - On the closedness of $L^2$ under convolution ...

    Since the Fourier Transform of the product of two functions is the same as the convolution of their Fourier Transforms, and the Fourier Transform is an isometry on $L^2$, all we need find is an …

  7. Definition of Convolution - Mathematics Stack Exchange

    Aug 2, 2023 · I am currently studying calculus, but I am stuck with the definition of convolution in terms of constructing the mean of a function. Suppose we have two functions, $f ...

  8. Definition of convolution? - Mathematics Stack Exchange

    I am aware that such "series" would never converge (in the traditional sense) unless they were countably supported, but oddly enough this helps me understand the definition for …

  9. How to "easily" calculate the limits and sections of convolution …

    Dec 14, 2024 · 0 We started recently talking in my signal processing class about the convolution integral, and in theory, it sounds easy enough but now after a few exercises I realize I either …

  10. Correct definition of convolution of distributions?

    Dec 26, 2014 · Convolution corresponds via Fourier transform to pointwise multiplication. You can multiply a tempered distribution by a test function and get a tempered distribution, but in …