$p$-adicintegration (semi-)fredholmoperators;indextheories 06f9911s8212j1012j2530d3537p0540a3046a3546s1047a53 1917-1989 26-0128-0146-0147-01 28a8037a3030d0537f4547a35 46-0147-01 519 abstractharmonicanalysis algebra algebraicmethods algebraicnumbertheory:localand$p$-adicfields algebrasofoperatorsonbanachspacesandothertopologicallinearspaces analyticfunctions andrelatedtopics applicationsofmathematics approximationtheory arithmeticandnon-archimedeandynamicalsystems banachalgebras banachspaces basiclinearalgebra butinthissection circuits classicalmeasuretheory commutativealgebra complexdynamicalsystems congresses control controltheory convergenceanddivergenceofinfinitelimitingprocesses convergenceanddivergenceofseriesandsequencesoffunctions convexgeometry derivative descretegeometry differentiabledynamicalsystems differentialequations differentialoperators diophantineequations discretegeometry distribution(probabilitytheory) distributionofvalues dynamicalsystemsandergodictheory eigenfunctionexpansions ellipticoperators engineeringdesign engineeringmathematics entireandmeromorphicfunctions ergodictheorems ergodictheory evolutionequations feynmandiagrams fieldtheoryandpolynomials fourieranalysis fractals frames(vectoranalysis) functionalanalysis functionalanalysisoverfieldsotherthan$ functionalequationsinthecomplexdomain functionsofacomplexvariable functionsofboundedvariation functionsofcomplexvariables functionsofrealvariables generalalgebraicsystems generalized generalizedfunctiontheory generalmathematicaltopicsandmethodsinquantumtheory generaltheoryoflinearoperators globalanalysis(mathematics) harmonicanalysis hilbertalgebras hilbertspace holomorphicfamiliesofdynamicalsystems;themandelbrotset;bifurcations holomorphy(allinvolvinginfinite-dimensionalspaces) ideals(algebra) inequalities(mathematics) informationandcommunication instructionalexposition(textbooks integralequations integraloperators integrals integraltransforms integration iterationandcompositionofanalyticfunctions kernelfunctions lattices linearandmultilinearalgebra;matrixtheory linearoperators linearspacesandalgebrasofoperators lineartopologicalspaces managementscienceoperationsresearch mappings(mathematics) markovoperators markovprocesses mathematicalanalysis mathematicalmethodsinphysics mathematicaloptimization mathematicalphysics mathematics matrices matrixinversion matrixtheory measureandintegration measures measuretheory miscellaneoustopics nevanlinnatheory non-archimedeananalysis non-archimedeananalysis(shouldalsobeassignedatleastoneotherclassificationnumberfromsection32describingthetypeofproblem) non-archimedeandynamicalsystems non-archimedeanfunctiontheory non-archimedeanvaluedfields noncommutativedifferentialgeometry noneoftheabove numbertheory numericalanalysis operationalcalculus operatoralgebras order orderedalgebraicstructures orderedsemigroupsandmonoids orderedstructures ordinarydifferentialequations other(nonclassical)typesoffunctionalanalysis other(nonclassical)typesofoperatortheory otheranalytictheory(analoguesofbetaandgammafunctions p-adicanalysis partial perturbation(mathematics) perturbation(quantumdynamics) polynomialandrationalmaps potentialtheory potentialtheory(mathematics) qa321 qa372 quadraticandbilinearforms quantumtheory realfunctions representationsofgroups resolvents(mathematics) semigroupsofoperators sequences series settheory severalcomplexvariablesandanalyticspaces singh spectraltheory spectraltheory(mathematics) summability summabilityandbases systemstheory systemtheory textbooks theoryofdistributions(functionalanalysis) topologicalfields topologicalgroups topologicallinearspacesandrelatedstructures tutorialpapers uditanarayana valuedfields vector-valuedmeasuresandintegration vectorspaces wavelets(mathematics)