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Logarithmic sobolev inequalitiesSobolev spaceMinkowski inequalityTrace inequalityFredholm operatorOperator theoryOrlicz spaceBessel's inequalityInterpolation inequalityBounded inverse theoremInequalityEquivariant mapNormDifferential equationResolvent formalismPartial differential equationIntegro-differential equationBanach spaceEuler classOrthogonal functionsSchauder estimatesSingular integralConvergence of measuresMatrix analysisAnalytic number theoryTrace operatorJacobi polynomialsLogarithmic normBesov spaceDifferential operatorMapping class groupDifferential invariantOrdinary differential equationGeometric measure theoryPontryagin classTychonoff spaceFunctional calculusKoenigs functionIntegral equationMatrix normDual normIsoperimetric inequalityMinkowski spaceChern classSystem of linear equationsSeminormEquivariant cohomologyCollocation methodDoob's martingale inequalityPolarization identityIntegral curveSystem of differential equationsExponential stabilitySequence spaceField normQuadratic variationSubderivativePovmSpectrumInverse scattering transformLipschitz continuityArchimedean propertyLarge cardinalTopological propertyActive-set methodHomotopy groupSymplectic integratorDarboux integralMean value theoremBernstein polynomialConfiguration spaceMonotone class theoremIsomorphism theoremsP-adic analysisDifferential topologyMathieu functionAsymptotic analysisClosed-subgroup theoremDistributionReal analysisUniform convergenceMatrix exponentialBoundary value problemFunctional equationAssociated legendre polynomialsStateParabolic cylinder functionRiesz transformCompact-open topologyKakutani fixed-point theoremGlobal analysisFredholm integral equationDivisor functionSesquilinear formLinear inequalityDifferential formLinking numberProbability measureSecond-order arithmeticNullcline