Index
Abel equation, 67
absence of discrete spectrum, 155
adjoint operator, 208
adjoint to ψdo, 214
Agmon’s estimates, 142
Airy function, 380
algebraic multiplicity of λj, 301
amplitude (or symbol) of FIO, 330
analytical index, 321
asymptotics of NB(λ), 305
backscattering amplitude, 191
Beals-Fefferman
classes of ψdo’s, 261
bicharacteristics, 247
Bott isomorphism, 321
Bott periodicity theorem, 321
boundary regularity, 124
boundary value problem, 270
boundary value problem in R+, n 267
canonical transformation, 333, 345, 350
generating function, 333, 346
Cantor function, 32
Carleman’s estimates, 154
Cauchy problem, 70, 72, 73, 223, 232
Cauchy problem with nonzero initial
data, 226
Cauchy-Riemann operator, 107
Cauchy-Schwartz inequality, 37
caustics, 371, 380
characterization of hypoelliptic
polynomials, 89
classes of homotopies, 317
classes of symbols
Pα,m, 224
Pα,m, + 225
Sα,
198
coboundary condition, 398
coboundary problem, 387
coercivity condition, 274
compact operator, 149, 150, 207, 302
composition of ψdo’s, 199
conductivity equation, 171, 300
conservation of energy, 74
continuous deformation, 313, 316
convex functional, 134
convex set, 134
convolution, 24
24
of f D and g E , 26
cotangent bundle T
∗(M),
264
critical point, 337
current flux, 171
delta-like sequence, 13
Dirichlet boundary condition, 78, 82,
175, 304
Dirichlet boundary problem, 108, 117,
296
nonhomogeneous, 121
Dirichlet Laplacian, 288
heat kernel, 288
Dirichlet-to-Neumann operator, 84, 168,
169, 297
distorted plane wave, 160, 161, 164, 175
407
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