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ConvolutionPoisson summation formulaDirichlet conditionsPointwise productParseval's theoremDiscrete fourier transformFourier analysisFourier inversion theoremCircular convolutionInverse fourier transformFourier transformGraph fourier transformCauchy productTitchmarsh convolution theoremDiscrete-time fourier transformConvex conjugateSchur product theoremHilbert transformFractional fourier transformDirichlet convolutionParseval's identityProbability-generating functionFourier seriesTensor product of representationsHadamard transformFunction compositionCanonical commutation relationHomogeneous functionDiscrete fourier seriesChain ruleProduct ruleExponential sumMultinomial theoremPolynomial expansionDft matrixCountable additivityHartley transformTwo-sided laplace transformLagrange inversion theoremPointwise convergenceIntegration by partsLinear functionProduct measureFundamental theorem of arithmeticPythagorean theoremInverse function ruleImplicit function theoremSum of two squares theoremInverse function theoremSummation by partsTychonoff's theoremFundamental theorem of calculusTangential and normal componentsCarleson's theoremFourier opticsScalar productSuperposition principleCepstrumBilinear mapVoronoi formulaSpectral leakageMercer's theoremEmpirical orthogonal functionsPythagorean trigonometric identityBilinear interpolationFixed-point theoremsTensor product of hilbert spacesGradient theoremHarmonic analysisFunction applicationBaire functionPoisson limit theoremDirichlet's approximation theoremBochner's theoremTensor productEgorov's theoremProbability measureQuantum fourier transformCauchy-schwarz inequalityFast wavelet transformSymmetric bilinear formCoorbit theoryTaylor seriesInclusion functionTransversalityHolomorphic functionMellin transformJacobi identityTotal derivativeIntermediate value theoremCoarea formulaMartingale central limit theoremBounded inverse theoremConvergence of fourier seriesMeasurable functionProjections onto convex setsFrobenius inner productMatrix decompositionCross-covarianceSchwarz reflection principle