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Convolution theoremFourier analysisDiscrete-time fourier transformFourier transformFractional fourier transformGraph fourier transformGeneralized fourier seriesParseval's identityFast fourier transformInverse scattering transformLagrange inversion theoremImplicit function theoremDiscrete fourier transformSliding dftGenerating function transformationHilbert transformSpectral leakagePoisson summation formulaInverse function ruleInverse functionAnalytic function of a matrixHartley transformConvex conjugateQuantum fourier transformCepstrumFourier seriesFunctional calculusFunctional decompositionBounded inverse theoremSchwarz reflection principleEven and odd functionsIntegration using euler's formulaHadamard transformInverse iterationMultinomial theoremFinite difference coefficientBochner's theoremFunction compositionConvergence of fourier seriesMultidimensional transformProbability-generating functionContinuous mapping theoremDiscrete sine transformDft matrixExponential mapMultiplicative functionSplit-step methodDistributive propertyDirichlet convolutionHilbert spectral analysisInverse quadratic interpolationDiscrete wavelet transformIntegro-differential equationDerivationMultiplication theoremShift operatorSpectrumFunction applicationMean value theoremInverse hyperbolic functionsDivisor summatory functionEquivariant mapMonotonic functionCircular convolutionEmpirical orthogonal functionsTrigonometric substitutionProjectionInverse elementLogarithmic derivativeHarmonic analysisConvolutionStationary phase approximationFrobenius methodFixed-point iterationCarleson's theoremAnalytic continuationShort-time fourier transformDirichlet conditionsPower transformLinear approximationSpectral theoremConstant-q transformFermat's little theoremDivisor functionAlgebraic functionMorse theoryAffine groupFormal derivativeIterated function systemRamanujan's master theoremInverse function theoremQuasiperiodic functionFixed-point combinatorDigital filterRamanujan theta functionGeometric transformationPythagorean trigonometric identityEuler's continued fraction formulaFrobenius inner productLaplace's method