Noun
The act of rolling anything upon itself, or one thing upon another; a winding motion.
The state of being rolled upon itself, or rolled or doubled together; a tortuous or sinuous winding or fold, as of something rolled or folded upon itself.
An irregular, tortuous folding of an organ or part; as, the convolutions of the intestines; the cerebral convolutions. See Brain.
Source: Webster's dictionaryAlternative statements of the theorem Density functions The density of the sum of two or more independent variables is the convolution of their densities (if these densities exist). Source: Internet
Definition The convolution of f and g is written f∗g, using an asterisk or star. Source: Internet
Also, convolution in the time domain corresponds to ordinary multiplication in the frequency domain. Source: Internet
Circular convolution arises most often in the context of fast convolution with an FFT algorithm. Source: Internet
;Convolution of a test function with a distribution If f ∈ D(R n ) is a compactly supported smooth test function, then convolution with f, : defines a linear operator which is continuous with respect to the LF space topology on D(R n ). Source: Internet
Convolutions on groups If G is a suitable group endowed with a measure λ, and if f and g are real or complex valued integrable functions on G, then we can define their convolution by : It is not commutative in general. Source: Internet