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< 58Hxx | 58-XX | 58Kxx >
58-XX Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx} {For geometric integration theory, see 49Q15]}
58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]
58J05   Elliptic equations on manifolds, general theory [See also 35-XX]
58J10   Differential complexes [See also 35Nxx]; elliptic complexes
58J15   Relations with hyperfunctions
58J20   Index theory and related fixed point theorems [See also 19K56, 46L80]
58J22   Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20]
58J26   Elliptic genera
58J28   Eta-invariants, Chern-Simons invariants
58J30   Spectral flows
58J32   Boundary value problems on manifolds
58J35   Heat and other parabolic equation methods
58J37   Perturbations; asymptotics
58J40   Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx]
58J42   Noncommutative global analysis, noncommutative residues
58J45   Hyperbolic equations [See also 35Lxx]
58J47   Propagation of singularities; initial value problems
58J50   Spectral problems; spectral geometry; scattering theory [See also 35Pxx]
58J51   Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
58J52   Determinants and determinant bundles, analytic torsion
58J53   Isospectrality
58J55   Bifurcation [See also 35B32]
58J60   Relations with special manifold structures (Riemannian, Finsler, etc.)
58J65   Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60]
58J70   Invariance and symmetry properties [See also 35A30]
58J72   Correspondences and other transformation methods (e.g. Lie-B├Ącklund) [See also 35A22]
58J90   Applications
58J99   None of the above, but in this section
< 58Hxx | 58-XX | 58Kxx >
American Mathematical Society