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Convolution vs Mollifier - What's the difference?

convolution | mollifier |

In mathematics terms the difference between convolution and mollifier

is that convolution is a form of moving average while mollifier is an "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution.

As nouns the difference between convolution and mollifier

is that convolution is something that is folded or twisted while mollifier is an "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution.

convolution

English

(convolution)

Noun

(en noun)
  • Something that is folded or twisted.
  • Any of the folds on the surface of the brain.
  • The shape of something rotating; a vortex.
  • (mathematics) A form of moving average.
  • (computing) A function which maps a tuple of sequences into a sequence of tuples.

    • Related terms

    * convolve * convolute * convoluted

    External links

    * * ----

    mollifier

    English

    Noun

    (en noun) (wikipedia mollifier)
  • (mathematics) An "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution.
  • * {{quote-journal, 2009, date=, , , Notices of the American Mathematical Society citation
    • , passage=I particularly remember how, at that time, I was using his mollifier method to study the zero density of L-functions and was stuck with something. }}