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Serre dualityCartan decompositionSpectral graph theorySpectral sequenceLerch zeta functionResolvent formalismExponential sheaf sequenceGraph fourier transformHurewicz theoremMapping class groupSpectral element methodSpectral tripleSpectrumAlgebraic number theoryLefschetz hyperplane theoremDirichlet convolutionGroup cohomologyIntersection theoryAlgebraic combinatoricsSturm's theoremSpectral theoryEquivariant cohomologyAlgebraic topologyPascal's triangleSubharmonic functionLebesgue's number lemmaSchur decompositionLegendre transformationClass field theoryFractional fourier transformDe rham cohomologyLagrange inversion theoremLefschetz fixed-point theoremRelative homologyPoisson summation formulaSegre embeddingParseval's identityArithmetic combinatoricsTopologist's sine curveGeometric algebraKoszul complexAlgebraic analysisLebesgue measureEuler classSpectral spaceOperator theoryLegendre polynomialsComputational topologyDarboux's theoremSelberg trace formulaSimons' formulaCoarea formulaGeneral topologyDarboux integralFourier analysisCauchy's integral theoremGeometric measure theoryOrlicz spaceMathematical morphologyPlancherel theoremGraph homologySpectral theoremFundamental groupBessel's inequalitySequence spaceArithmetic geometryEuler's formulaGeometric topologySingular integralCohomologyCategory theoryOseledets theoremRamanujan's master theoremCantor spaceLebesgue covering dimensionDiophantine geometryTopological propertySupersingular isogeny graphSchubert calculusDiscrete-time fourier transformAnalytic number theoryConvergence of fourier seriesBiharmonic equationLemniscate elliptic functionsLie algebraLog structureNoncommutative geometrySimple homotopy theoryEnumerative geometryDiscrete spectrumLiouville functionPetrov classificationDe casteljau's algorithmLegendre functionBirational geometrySchur polynomialMellin transformLinking numberLie algebra representationGalois cohomology