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Fredholm theoryFredholm integral equationFredholm alternativeFerrers functionFunctional calculusOperator theoryIntegral equationDifferential operatorDifferential equationMathieu functionIntegro-differential equationHeat equationElliptic operatorSobolev inequalityTheta functionIntegrable systemSingular integralHecke algebraSystem of differential equationsDerivationSymplectic integratorPartial differential equationParabolic cylinder functionIntegral curveDistribution functionLogarithmic sobolev inequalitiesRiemann sumGeneralized functionTrigonometric integralExact differential equationOrdinary differential equationDivisor functionKoenigs functionAlgebraic functionPotential theoryInverse scattering transformInverse hyperbolic functionsLocally integrable functionMethod of characteristicsFractional fourier transformSpherical harmonicsGeometric function theorySubharmonic functionJacobi elliptic functionsSymmetric derivativeDirichlet convolutionDifferintegralFunction spaceF-algebraExponential integratorDifferential galois theoryDifferential formIntegrating factorEquivariant mapCollocation methodBounded inverse theoremAlgebraic integerMultiple zeta functionFunctional equationEquilibrium pointLemniscate elliptic functionsFinite volume methodKakutani fixed-point theoremResolvent formalismMultiple integralFunctionalSubderivativeQuaternionic analysisEuler classFixed-point iterationOrthogonal functionsElliptic functionFrobenius inner productAlgebraic fractionOptimizationPontryagin classLinear systemFloquet theoryNon-analytic smooth functionSpectral methodBinomial coefficientDiscrete-time fourier transformFinite difference methodJacobi polynomialsExponential sheaf sequenceAnticommutative propertyGeometric measure theorySchwarzian derivativeDynamical systems theoryLogarithmic integral functionDiffusion processBasis functionIntegralQuadratic variationDiscrete poisson equationConvergence of measuresDistributionOutline of calculusHyperbolic functionsLogarithmic derivative