$p$-adicintegration (semi-)fredholmoperators;indextheories 06f9911s8212j1012j2530d3537p0540a3046a3546s1047a53 515 algebraicnumbertheory:localand$p$-adicfields algebrasofoperatorsonbanachspacesandothertopologicallinearspaces andrelatedtopics arithmeticandnon-archimedeandynamicalsystems basiclinearalgebra butinthissection calculus congresses convergenceanddivergenceofinfinitelimitingprocesses convergenceanddivergenceofseriesandsequencesoffunctions derivative diophantineequations distributionofvalues dynamicalsystemsandergodictheory entireandmeromorphicfunctions fieldtheoryandpolynomials functionalanalysis functionalanalysisoverfieldsotherthan$ functions functionsofacomplexvariable generalizedfunctiontheory generalmathematicaltopicsandmethodsinquantumtheory generaltheoryoflinearoperators h-functions holomorphy(allinvolvinginfinite-dimensionalspaces) integraltransforms integration lattices linearandmultilinearalgebra;matrixtheory linearspacesandalgebrasofoperators measures miscellaneoustopics nevanlinnatheory non-archimedeananalysis non-archimedeananalysis(shouldalsobeassignedatleastoneotherclassificationnumberfromsection32describingthetypeofproblem) non-archimedeandynamicalsystems non-archimedeanfunctiontheory non-archimedeanvaluedfields noneoftheabove numbertheory operationalcalculus operatortheory order orderedalgebraicstructures orderedsemigroupsandmonoids orderedstructures other(nonclassical)typesoffunctionalanalysis other(nonclassical)typesofoperatortheory otheranalytictheory(analoguesofbetaandgammafunctions p-adicnumbers polynomialandrationalmaps quadraticandbilinearforms quantumtheory realfunctions sequences series severalcomplexvariablesandanalyticspaces summability summabilityandbases teichmüllerspaces topologicalfields topologicallinearspacesandrelatedstructures valuedfields vector-valuedmeasuresandintegration zeta