190 INDEX
odd-class symbols, 18
order of a symbol, 17
order of an operator, 116
Paneitz operators, 175
period, 38
pointwise conformally covariant of weight,
177
Polyakov action, 181
polyhomogeneous operator, 111
polyhomogeneous symbol, 17, 85
primitive lattice vectors, 83
principal angle, 131
properly supported symbol, 110
properly supported operator, 110
pseudodifferential operator, 108, 109, 115
pseudolocality, 109
Q-curvature, 175
Q-weighted determinant, 167
quotient Fr´ echet topology on formal
classical symbols, 19
Rd-translation
invariant set/linear form, 30
R-regularised discrete sum, 96
R-regularised integral, 71
R-regularised trace, 135
regular integral polytopes, 83
regular linear form, 122
regularised evaluator, 54
regularised Euler-Maclaurin formula, 96
rescaling invariant linear form, 41
rescaling invariant set, 41
residue determinant, 155
Riesz extension of Gamma function, 7
Riesz regularisation, 5, 70
Rota-Baxter operator, 54
Rota-Baxter relation, 54
Schwartz functions on
Rd,
16
Schwartz functions on
R+,
1
simple integral polytopes, 83
singular linear form on operators, 122
singular linear form on symbols, 20
singular support of a distribution, 109
smoothing operator, 108, 115
smoothing symbol, 16
star-product, 112
Stokes’ property on symbols, 23
Stokes’ theorem, 23
symbol valued differential forms, 22
symbolically defined set of operators, 121
symbols with constant coefficients, 15
Todd function, 80
trace of a smoothing operator, 115
translation invariant linear form on
symbols, 30
translation invariant set of symbols, 30
twisted Dirac operator, 162
twisted Z2-graded spinor bundle, 162
type k-log-polyhomogeneous, 17, 106
weight for a trace, 136
weight, conformal, 174
weighted determinant, 157
weighted supertraces, 158
weighted trace, 136
Yamabe operator, 175
Zd-translation
invariant, 91
zeta function, 98
zeta regularised traces, 135
zeta-determinant, 168
Previous Page Next Page