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Trace operatorContinuous linear operatorCharacter theoryOperator algebraPartial tracePositive linear functionalFunctional analysisCompact operatorSpectrumProjection-valued measureSelberg trace formulaLefschetz fixed-point theoremOperator theoryLinear formSpectral theoremFunctional calculusHilbert transformTraceLinear differential equationProbability measureBounded operatorReproducing kernel hilbert spaceDifferential operatorLinear mapMeasurable functionIndicator functionChange of basisSequence spaceBasis functionFunction of a real variableFunctional determinantTrigonometric polynomialDarboux integralBounded variationOperadSet functionLinear functionAntiderivativeDiscrete spectrumSpecial linear lie algebraConnectorLogarithmic normAlgebraic structureShift operatorElementary functionConstant-recursive sequenceEigenfunctionProjectionFormal derivativeOrdinary differential equationRational functionDerivationIntegral transformIntegral curveSquare-integrable functionIndex setFractional fourier transformDistributionClass functionSchauder basisSmoothnessDivisor functionSelf-adjoint operatorOrthonormal basisT-normResolvent formalismEuclidean domainHomeomorphismOperatorCompact operator on hilbert spaceFixed-point theoremsPovmPrincipal valueMatroidHodge star operatorPositive-definite kernelLinear approximationFree moduleSpectral graph theoryProbability-generating functionBernstein polynomialFundamental solutionGraph fourier transformAlgebraic function fieldHolomorphic functionEmpirical orthogonal functionsAlgebraic number fieldBanach algebraSubspace topologyDeterminantal point processOrdered exponentialMathematical analysisPartial derivativeExponential sumTaylor seriesComplemented subspaceArithmetic derivativeStep functionAnalytic continuationComplex analysis