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Harmonic analysisHarmonicAbstract harmonic analysisHarmonic functionTheoryOperator theoryPattern theoryHarmonic numberHigher arithmeticField theoryProbability theoryHarmonic progressionRing theoryMathematical analysisFourier analysisHolomorphyMeasure theoryTheta functionHarmonic seriesArithmetic combinatoricsGalois theoryScheme theoryAnalytic number theoryDomain theoryComplex analysisKnot theoryMathematical sociologyGeometry of numbersMorse theorySet theoryMathematical morphologyType theoryGraph theoryGenomathematicsNumber theoristAlgebraic analysisComputational number theoryAnalysisCategory theoryRepresentation theoryNumber theoryTranscendental number theoryAlgebraic number theoryNumber-theoretic functionGroup theorySpectral theoryFredholm theoryEigentheoryAbstract analytic number theoryFunctional analysisMetamathematicsArithmologyFourier transformChaos theoryHarnack's curve theoremHarmonic proportionAlgebraic graph theoryInformation theoryErgodic theoryStructuralismArithmetic geometryBalayageCatastrophe theoryAlgebraic k-theoryCobordismTheoretical probabilityTheory of gamesSize theoryOperational calculusPythagorean theoremNomeComputable analysisSpherical harmonicsGeometric analysisFundamental theoremFormalismDevelopmentPower seriesAnalytic mechanicsBifurcation theoryPhysicomathematicsHomotopy theoryAsymptoticsK-theoryHodge theoryHolomorphismRahmonicK-functionModular calculusPure mathematicsCanonical formalismHomological algebraFourier seriesAlgebraic topologyQueueing theoryInvariant theoryWaveformAlgebraic geometryIsoperimetrySturm-liouville theory