$ $p$-adicintegration (semi-)fredholmoperators;indextheories 05a1911a2511e2511f3311f3711p8414k2517b6730b7033d15 06f9911s8212j1012j2530d3537p0540a3046a3546s1047a53 14hxx30fxx68wxx 1881-1940 1887-1920 28a8037a3030d0537f4547a35 abel'stheorem abeliangroups abelianvarietiesandschemes additivenumbertheory;partitions algebraic algebraicequations algebraicgeometry algebraicnumbertheory:localand$p$-adicfields algebrasofoperatorsonbanachspacesandothertopologicallinearspaces algorithms analyticfunctions andrelatedtopics arithmeticandnon-archimedeandynamicalsystems arithmeticfunctions;relatednumbers;inversionformulas banachalgebras basichypergeometricfunctions basichypergeometricfunctionsinonevariable bijectivecombinatorics butinthissection classicalmeasuretheory combinatorialidentities combinatorics commutativealgebra complexdynamicalsystems computerscience congresses congruencesformodularand$p$-adicmodularforms continuedfractions convergenceanddivergenceofinfinitelimitingprocesses convergenceanddivergenceofseriesandsequencesoffunctions curves dataprocessing derivative differentialequations differentialgaloistheory discontinuousgroupsandautomorphicforms distributionofvalues dynamicalsystemsandergodictheory elementarynumbertheory entireandmeromorphicfunctions enumerativecombinatorics ergodictheorems ergodictheory fieldtheoryandpolynomials formsandlinearalgebraicgroups formsofhalf-integerweight;nonholomorphicmodularforms fourieranalysis fractals functionalanalysis functionalanalysisoverfieldsotherthan$ functionalequationsinthecomplexdomain functions functionsofcomplexvariables generalizedfunctiontheory generaltheoryoflinearoperators grouptheory harmonicanalysisoneuclideanspaces heisenberguncertaintyprinciple holomorphicfamiliesofdynamicalsystems;themandelbrotset;bifurcations holomorphy(allinvolvinginfinite-dimensionalspaces) integration iterationandcompositionofanalyticfunctions kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras lattices liealgebras liealgebrasandliesuperalgebras linearspacesandalgebrasofoperators markovoperators mathematicalanalysis mathematics measureandintegration measures miscellaneoustopics nevanlinnatheory non-archimedeananalysis non-archimedeananalysis(shouldalsobeassignedatleastoneotherclassificationnumberfromsection32describingthetypeofproblem) non-archimedeandynamicalsystems non-archimedeanfunctiontheory non-archimedeanvaluedfields nonassociativeringsandalgebras noneoftheabove numbertheory operatortheory order orderedalgebraicstructures orderedsemigroupsandmonoids orderedstructures ordinarydifferentialequations other(nonclassical)typesoffunctionalanalysis otheranalytictheory(analoguesofbetaandgammafunctions otto p-adicanalysis partial partialdifferentialequations partitionidentities;identitiesofrogers-ramanujantype polynomialandrationalmaps ramanujanaiyangar realfunctions riemannsurfaces sequences sequences(mathematics) series seriesexpansions severalcomplexvariablesandanalyticspaces specialfunctions(33-xxdealswiththepropertiesoffunctionsasfunctions) spectraltheory srinivasa summability summabilityandbases sumsofsquaresandrepresentationsbyotherparticularquadraticforms theta thetafunctions toeplitz topologicalfields topologicallinearspacesandrelatedstructures valuedfields vector-valuedmeasuresandintegration