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Tables of Contents for Global Hypoellipticity and Spectral Theory
Chapter/Section Title
Page #
Page Count
1 Pseudo-differential operators
11
104
0 Oscillatory integrals
12
7
1 Hypoelliptic polynomials and Newton polyhedra
19
9
2 Further properties of the weight function
28
3
3 Symbols and amplitudes
31
6
4 Pseudo-differential operators
37
7
5 Symbolic calculus
44
6
6 Anti-Wick symbols
50
8
7 Operators with parameter
58
2
8 Hypoelliptic operators
60
11
9 Sobolev spaces
71
5
10 Fredholm operators
76
6
11 Fourier integral operators
82
12
12 Fourier operators on Sobolev spaces and Cauchy problems in R(n)
94
15
13 Local hypoellipticity and Grushin operators
109
3
14 P-wave front set and other applications
112
3
2 Spectral theory
115
65
1 Pseudo-differential operators in L(2)(R(n))
116
3
2 The spectrum of a hypoelliptic operator
119
4
3 The Weyl formula for the counting function
123
12
4 Trace-class operators
135
18
5 Proof of the theorem on approximate spectral projections
153
2
6 Estimate of the Weyl term
155
20
7 Estimate of the Weyl term for ordinary differential operators with degenerate Newton polyhedron
175
5
References
180
5
List of symbol classes, operator classes and related function spaces
185
2
Index
187