Index adjoint, 26 almost orthogonality, 78 asymptotic sum, 22 bicharacteristic (curve), 116 Cauchy problem, 93 change of variables, 37 characteristic (surface), 111 commutator, 40 continuity, L 2 , 30 convexity inequalities, 82 cotangent bundle, 29 density on a manifold, 74 Dirichlet problem, 124 elliptic (symbol, operator), 33 energy (inequality), 98 1-form, canonical, 39 2-form, symplectic, 39 factorization (of an operator), 103 Fourier distribution, 91 Fourier transform, 11 Garding inequality, 31 Gagliardo-Nirenberg inequality, 86 Hamiltonian (vector field), 40 Holder spaces, 80 Hormander's theorem, 102 hyperbolic (operator, system), 103 implicit function theorem, 121, 122 interpolation, 108 isometric embedding, 133 kernels, 9 Laplacian, 16 Littlewood-Paley decomposition, 77 local inversion theorem, 121 local symbol, 35 Meyer multiplier, 87 Morse's lemma, 69 Newton schenie, 146 non-stationary phase, 41 operator on a manifold, 37 oscillatory integral, 41 parametrix, 17 paraproduct, 86 partition of unity, 7, 36 Poisson bracket, 29 principal symbol, 27 propagation of singularities, 101 properly supported operator, 36 pseudo-differential operator, 15, 24 pseudo-local property, 19 quasilinear system, 128 Rauch's lemma, 113 regularization operator, 83 singular integral, 60 small divisors, 138 Sobolev space, 31
Purchased from American Mathematical Society for the exclusive use of nofirst nolast (email unknown) Copyright 2007 American Mathematical Society. Duplication prohibited. Please report unauthorized use to cust-serv@ams.org. Thank You! Your purchase supports the AMS' mission, programs, and services for the mathematical community.
