Revision #554 → #1237 · back to history
addedFourier transform (integral definition)4471d8abf2f8
addedFourier inversion theorem9924f548f253
addedFourier transform of the delta functionc35b2c3a228b
addedAngular-frequency conventionac5f342614b6
addedLebesgue integrable function99debabd1c88
addedL^p space6cc48b00b91d
addedFourier transform is a Banach-algebra homomorphismc103eb5edb40
addedSymmetry of FT for real-valued functionsc911d40d6e79
addedFourier transform of a periodic functionccd3b1589a2f
addedPoisson summation formula for sampled FT67e92293c3d4
addedTime-reversal property1470ff6ff665
addedEven/odd symmetry decomposition of FT39504e9f055b
addedFT of a real function is conjugate symmetric (Hermitian)5ce92dbf0bce
addedZero-frequency component equals total mass / DC bias73766a0664ed
addedUniform continuity of FT of integrable function6b0008d92fd8
addedRiemann–Lebesgue lemma35cb599dea39
addedInjectivity of FT on L^1(R)d47e84d1b039
addedParseval's formula4bd2a36ad6ba
addedPlancherel theoremd45e7a58e9ea
addedConvolution theoremf580299fb312
addedCross-correlation theorem944fc5a529db
addedFT of a derivative94ca1b65e6e6
addedEigenfunctions of the Fourier transform01fa2b067499
addedHermite functions form an orthonormal eigenbasis for FT5c3ab15b812e
addedFour-periodicity / Fourier inversion theoremc5518cfe2839
addedStone–von Neumann realization of FT as intertwiner1bf4c1e969ff
addedPaley–Wiener theorema1b997905c4e
addedRelation between FT and Laplace transformab4e357f848b
addedComplex-line inversion for causal exponentially-bounded functions71523894c260
addedMellin inversion formula for the Laplace transformf6bae1c67f4a
addedFourier transform on Euclidean space R^nb4481759ba44
addedUncertainty principlea370fdde3dbb
addedHirschman uncertainty principle314178965231
addedFourier integral expansion (sine/cosine form)4df5170df257
addedFT of radial function via spherical harmonics656b839425b3
addedHankel transform as radial FTa9a4407d0326
addedTomas–Stein restriction theorem797f10454b51
addedFefferman's ball multiplier theoremfc6f835c686a
addedExtension of FT to L^211f4616457cf
addedFT on L^2 is unitarya6ba7126e8b7
addedHausdorff–Young inequality221e99d6b460
addedFourier transform of a tempered distributionbe8236da751c
addedFourier–Stieltjes transform of a finite Borel measure015f3a436134
addedBochner's theorem553f2494f6e2
addedFourier transform on a locally compact abelian groupa686ba9a3c22
addedFT as a special case of the Gelfand transform917c86d5f3db
addedFourier transform on a compact non-abelian group55354247b6aa
addedPeter–Weyl theorem and Plancherel formula6fec0c98e945
addedDetecting a 3 Hz component via the FT integral8d46c0192289
addedSolving the wave equation via Fourier transform92ad827b8851