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Dirichlet kernelDirichlet's unit theoremNeumann boundary conditionDirichlet processBoundary value problemDirichlet problemDirichlet distributionLaplace's equationD'alembert's equationRobin boundary conditionDarboux's theoremPoisson kernelLagrange's identityLiouville field theoryDirichlet convolutionDirichlet-multinomial distributionLaplace operatorCauchy boundary conditionBeta functionPartial differential equationOrdinary differential equationExact differential equationDynamical systems theoryRicci flowPseudodifferential operatorLeibniz integral ruleLebesgue measureGeometric flowBiharmonic equationDirac equation in curved spacetimeLaplace distributionRiemann-stieltjes integralJensen's inequalityMatrix differential equationBoundary conditionBochner integralDifferential equationLipschitz continuityFrobenius methodFredholm integral equationDirichlet conditionsCauchy horizonSpecial values of l-functionsDarboux integralElliptic boundary value problemBessel functionDirac bracketFubini's theoremFloquet theoryStefan problemPicard-lindelöf theoremDirichlet functionAbel equation of the first kindEuler methodElliptic integralEuler's theoremHellinger integralBernoulli differential equationLeray projectionCharacteristic equationFree boundary problemExterior covariant derivativeSommerfeld radiation conditionDirichlet's approximation theoremDirichlet l-functionBerezin integralLebesgue covering dimensionBeltrami identityMathieu functionBloch's theoremLie derivativeEuler's formulaLegendre transformationDirichlet's testDirichlet energyIntegro-differential equationLax pairOperator theoryBochner's theoremPoisson algebraLaplace-de rham operatorLeibniz formula for determinantsArtin l-functionFundamental solutionReynolds transport theoremDirac operatorLerch zeta functionMultivariate laplace distributionDifferential geometry of surfacesD-braneMagnus expansionDifferential operatorD'alembert's formulaDiscrete poisson equationDifferential topologyFredholm alternativeState-space representationGeneralized dirichlet distributionTrace operatorDe casteljau's algorithm