Revision #517 → #1121 · back to history
addedConvolution8960b3a59952
addedRelation to cross-correlation76adc85914e3
addedCross-correlation as adjoint (complex case)20b3a271f855
addedDeconvolution98301c0b2fe3
addedDefinition of convolution integralfb12397696e1
addedEquivalent (commutative) definition2b15fbd943b0
addedTruncated convolution for one-sided support7c7edb7fc5c9
addedEngineering notational conventionbc7c3fbf49ec
addedConvolution via inverse Laplace transform1b28813e532d
addedConvolution as LTI system output983f7f0e2692
addedConvolution with a unit impulse0f970fe92d25
addedPeriodicity of convolution with periodic function2ea972fb34e0
addedPeriodic summationb035b947c546
addedCircular (cyclic) convolutionf2e6a74eaf51
addedPeriodic convolution9c175e4bddb4
addedDiscrete convolution2d12eabe46f5
addedEquivalent (commutative) discrete convolution346a629824bd
addedCauchy product of polynomial coefficients25d8862d2fca
addedFinite summation for finite support462a80d3e658
addedPeriodicity of discrete convolutionc0c3f62e50d2
addedDiscrete periodic summation1ab5ab5305ba
addedCircular discrete convolutione8160944167f
addedCyclic convolution notation099cb9d635d1
addedConvolution on R^d6e4d590a912a
addedConvolution of compactly supported continuous functions30b6794a72e1
addedCompactly supported with locally integrable336f2162314c
addedConvolution of locally square integrable one-sided functionsaa1e1e7cebf0
addedConvolution of L^1 functions is integrable30fbf02abdd9
addedL^1 convolved with L^p stays in L^p0b7208a894d0
addedL^1 is a Banach algebra under convolution6c73bc5b71b6
addedYoung's convolution inequalitycb04923be9e0
addedSharp Young inequality constant (Brascamp–Lieb)5668ae98ad43
addedWeak Young inequality estimateede065cc9ac3
addedConvolution preserves rapid decayb5311f425da4
addedSchwartz functions closed under convolution4977bc9a14fd
addedConvolution of a smooth compactly supported function with a distribution938f4d1adc9f
addedAssociative law extended to distributions0f00cf9f543e
addedConvolution of Borel measures6c1769d5b2ec
addedYoung's inequality for measures197c210d1cfb
addedIntegrable functions form a commutative associative algebraecca390e0a7d
addedCommutativity4852d097acd9
addedAssociativity1611cf9e31f8
addedDistributivity77f109d8139e
addedAssociativity with scalar multiplication17f4d04edf03
addedNo multiplicative identity; delta is identity for distributions3aa121a152ae
addedInvertible distributions form an abelian group9f576f2c7c39
addedProperty proven via the convolution theorem8283f421b26d
addedIntegral of a convolution0da55889124e
addedDerivative of a convolution (one variable)25e9289793f0
addedPartial derivative of a convolution43563637725c
addedConvolution as a smoothing operation2a3b8fd63130
addedDifference operator on discrete convolution1f5111986fa8
addedConvolution theorem4a78bcf99460
addedConvolution theorem for other transforms26c9edcf00f0
addedConvolution via Fourier transform matrixa7f51609837b
addedGeneralization to appropriate matricesb18fb3a44028
addedConvolution commutes with translations9d9e4517de95
addedTranslation operatorfc79c6992fb0
addedSchwartz function as convolution with translated deltaca56de2b786b
addedTranslation-invariant operators are convolutionsaab7ed4b6f99
addedTranslation-invariant operators on L^1 as convolution with a Borel measure5fa382369df2
addedConvolution on a group079cadea9006
addedCommutation with left translationfc8fef6b55e0
addedConvolution theorem on locally compact abelian groups5914cdb28e65
addedConvolution operator T is compactc8add0235d37
addedAdjoint of the convolution operator94f8eefd7a43
addedConvolution operator is normal6a4fc5f99356
addedSimultaneous diagonalization by an orthonormal basis83cfd644af4f
addedConvolution on finite cyclic groups via circulant matrices9eec447db9dd
addedPeter–Weyl basis for compact groupsf2129ac1c913
addedConvolution of Radon measures9c6d6d5e7a0e
addedTotal variation of convolution of measures554e0e84aa9e
addedDensity of convolution of absolutely continuous measuresff8c3a3944a4
addedConvolution of probability measures = distribution of sumbf27046b3e5c
addedInfimal convolution11fd392224ea
addedInfimal convolution of convex functions is convexa50ac98fba3a
addedLegendre transform identity for infimal convolutionb65bcbec3a6e
addedConvolution on a bialgebra endomorphism algebra7a8d99b10175
addedHopf algebra characterized by antipodef34b87f6ba5c
addedConvolutional neural networks7d9b89295b72
addedOut-of-focus photograph (bokeh)ced00b3ee649
addedReverberation in acousticsdf282683d9ae
addedWeighted moving average7ca65ded2473
addedDistribution of sum of independent random variablesf26afc5344b8
addedVoigt line shapec94ab9c9977e