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Dirichlet kernelPoisson summation formulaFredholm integral equationLaplace operatorDirichlet problemKernel density estimationHeat kernelLaplace's equationDiscrete poisson equationBiharmonic equationLiouville field theoryMarkov kernelPositive-definite kernelAsymmetric laplace distributionD'alembert's formulaTwo-sided laplace transformGaussian integralMultivariate laplace distributionPoisson manifoldDirac equation in curved spacetimeRicci flowKernel embedding of distributionsBoundary value problemReproducing kernel hilbert spaceKernelPoisson algebraDirichlet convolutionBloch's theoremLaplace expansionDiscrete laplace operatorDirichlet-multinomial distributionDarboux integralLagrange's identitySpectral element methodPoisson bracketLinear differential equationPoisson's equationCoarea formulaNewtonian potentialDirichlet's approximation theoremDarboux's theoremLaplace's methodDirichlet distributionDirac combCalculus on euclidean spaceLegendre transformationLaplace transformDirac bracketRiemann-stieltjes integralMellin transformGaussian q-distributionLaplace distributionTransition kernelConvex conjugateDivergence theoremLaplace-de rham operatorOrdinary differential equationCovariance functionTaylor's theoremNewton fractalHessian matrixPoisson point processExact differential equationDirichlet boundary conditionDuhamel's principleD'alembert's equationSchwartz kernel theoremIntegral curveConvolution theoremExterior covariant derivativeLaplacian matrixPoisson limit theoremIntegro-differential equationHyperbolic secant distributionCauchy horizonDensity on a manifoldKronecker deltaPolynomial kernelKilling vector fieldLagrange inversion theoremProbability-generating functionCauchy's integral theoremBerezin integralMagnus expansionBeta functionDiophantine equationEuler methodDirac operatorTrapezoidal ruleFloquet theoryBessel functionLerch zeta functionDirichlet energyPoisson distributionSpectral graph theoryDirichlet conditionsPartial differential equationPoisson binomial distributionHilbert transformSpectrum