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Banach spaceSchur's inequalityNormDual normFunctional calculusSeminormKoenigs functionStateSymmetric derivativeField normInverse scattering transformNevanlinna theoryDistribution functionKakutani fixed-point theoremSchwarzian derivativeLogarithmic normSchur complementRiemann sumHecke algebraDifferential operatorSobolev inequalityMatrix normShift operatorSchur decompositionNoether's second theoremAlgebraic functionGaussian functionFrobenius inner productBounded inverse theoremFredholm theoryLocally integrable functionSchwarz reflection principleResolvent formalismSchwarz lemmaFunctionalDirichlet convolutionStationary phase approximationNormal convergenceSchwartz kernel theoremNormalizing constantDarboux's theoremFrobenius matrixDerivationSpectrum of a matrixQuaternionic analysisOptimizationHessian matrixCauchy's integral formulaConvolutionMatrix calculusDiscrete-time fourier transformEquivariant mapDeterminantOperator normMatrix sign functionMilstein methodAbel transformNeumann boundary conditionInverse elementSpectrumContraharmonic meanSliding dftMethod of characteristicsRiemann sphereDirichlet kernelHelmholtz equationFunction spaceSymplectic integratorInvariant measureMatrix analysisPartial traceDifferential equationSpectral radiusDivisor summatory functionLogarithmic derivativeFredholm operatorSchur's theoremCancellation propertyBloch's theoremScattering theoryP-adic analysisGrassmannianMatrix exponentialOscillation theoryCovariant derivativeGaussian measureLipschitz continuityOperator theoryParseval's identitySchwartz spaceSchwarzschild metricAnalytic number theorySpectral spaceGershgorin circle theoremDirichlet energySchauder estimatesHermite normal formInverse iterationAbelian von neumann algebraLogarithmic sobolev inequalities