46-0147-01 approximationtheory automorphicforms boundaryvalueproblems congresses correlation(statistics) dataprocessing decomposition(mathematics) differentialequations differentialoperators digitaltechniques distribution(probabilitytheory) eigenvalues eisensteinseries engineering entropy(informationtheory) fractals functionalanalysis functions functionsofcomplexvariables functionspaces gaussianprocesses graphtheory hyperbolic hypoellipticoperators instructionalexposition(textbooks integralequations invariantsubspaces liegroups linearoperators machinery mathematicalcrystallography mathematicalmodels mathematicalphysics mathematics matrixtheory microlocalanalysis nonlinearfunctionalanalysis nonlineartheories numericalsolutions operatortheory parameterestimation partial partialdifferentialoperators perturbation(mathematics) poincaréseries predictiontheory probabilities quantumfieldtheory quantumtheory randomvibration representationsofgroups resolvents(mathematics) scattering(mathematics) selbergtraceformula selfadjointoperators semigroupsofoperators shiftoperators(operatortheory) signalprocessing spectrumanalysis stationaryprocesses statisticalhypothesistesting statisticalmethods statistics structuraldynamics structuralframs testing time-seriesanalysis timeseriesspectralanalysis tutorialpapers vibration wavelets(mathematics) zeta