Revision #125 → #1166 · back to history
addedDistribution (generalized function)004d5ff3f7cf
addedTempered distributions vs distributionsd5390435fa1e
addedTest function space D(R)4fdd2ff1b765
addedDistribution as linear mappingf70720fe029b
addedDirac delta distribution7e6631812d7e
addedDistribution from locally integrable function9002b211a2f7
addedDistribution from Radon measure31e27f4ce3f9
addedPoint-mass measure gives Dirac delta751968dc0ce4
addedSchwartz' Impossibility Theorem91353a329070
addedDerivative of a distribution73a5935c0731
addedHeaviside step function derivative is deltaf2f7298fb253
addedDerivative of the Dirac delta85d3137c76d5
addedTest function space D(U)87a82f419ff8
addedCompact support of a function9e2cb526dd74
addedConvergence in D(U)0d86ea58f7aa
addedD(U) is complete LCTVS with Heine–Borel propertybd67fbf43f32
addedInductive limit (final) topologyb7849437d71c
addedLF space206b7b1e36cd
addedCompleteness of (D(U), τ)24720cf61f5c
addedNon-metrizability of τe127c616912a
addedDistribution on U7c4a19903a56
addedContinuity criterion for distributions466f8120886f
addedSpace of distributions D′(U)109f768937f2
addedDuality pairing72f8ffeff52d
addedWeak-* convergence of distributionsf09153550006
addedSequence approximating Dirac deltaffd2630aa1c3
addedLocally integrable function61ab23e962c4
addedEquality of distributions iff equal a.e.91dc59e2a3b9
addedSchwartz representation by Radon measures55f158fa714d
addedDensity of test functions in D′(U)571b063f6002
addedExtension of operators by limit19b5b4eb1fce
addedTranspose of an operator6ec5da776704
addedPartial derivative of a distribution60ec44dd3594
addedMulti-index derivative of a distributiona5024571912e
addedDifferentiation is continuous on D′(U)ef19e588b4e1
addedProduct of smooth function and distribution672071d5f8b0
addedD′(U) as module over C∞(U)e0436c2538a0
addedIdentity mδ = m(0)δ111815bb45df
addedLinear differential operator on distributions7aa30a21b454
addedOrder of a differential operator9484d944526f
addedPullback of a distribution along a submersion80eeab32f22c
addedSubmersion equivalent to surjective Jacobian755403649aac
addedPullback under diffeomorphismd8ca0f8208fc
addedDistributions form a sheaf75a2a0b609b8
addedRestriction of a distribution64f902380476
addedRestriction not injective nor surjective3094c6e26662
addedVanishing of a distribution on an open set7aa85340b970
addedSupport of a distributiond89d12753b79
addedCompactly supported distribution58e41547e067
addedCompactly supported distributions act on C∞(U)3b07514af01f
addedSpace of tempered distributionsdb093bae6431
addedSchwartz spacec4c8175b79b4
addedSchwartz function via seminorms82d95be8c9b3
addedSchwartz space metrizable and complete1c1b5df24c44
addedFourier transform preserves Schwartz spaceae0edd2957f3
addedTempered distribution as dual of Schwartz spaceb7491dfd746b
addedDerivative of tempered distribution is temperedfe14355ece61
addedExamples of tempered distributions44bd9ef3e244
addedFourier transform of a tempered distributionb36356b07c24
addedFourier transform is a bijection on S′70314395c271
addedFourier transform of constant 1 is delta88a8e16380ef
addedConvolution operator with test function1234242ee74e
addedConvolution of function with distribution233173019f0a
addedConvolution via translation operatore6b175291bfd
addedConvolution with smooth function is smoothe6113e4fbd7a
addedTitchmarsh convolution theorem (support)9bb2d66a35c0
addedConvolution of two distributions09a596e33816
addedExplicit characterization of convolution022081e3e8ea
addedDistributions are locally derivatives of continuous functionseb6645603ce4
addedStructure of tempered distributionsa3070b6f7be1
addedRestriction to compact sets as derivative3e9d1e018b4a
addedDistributions with point support0e52ae264d13
addedLocal structure of general distributionsc8ede163d7af
addedNo associative product of distributions519ec2680b71
addedNon-associativity with p.v. 1/x and deltaf0d39ce9fafa