Chapter 2

Measures, distributions, and convergence23B07AA86991

Measures, weak derivatives, Fourier analysis, and convergence.

Sections and subsections

1. 2.1 Measures and distributionsB288B328
2. 2.2 Radon measures and integrationDAFA3E4936D2
3. 2.3 Positive linear functionalsCBAFDF86F98D
4. 2.4 Test functions and distributions91D95CD7
5. 2.5 Convolution and mollifiersE5DAA0D27299
6. 2.6 Weak convergence of measuresA1AF2491CD1A
7. 2.7 Nets and compactness796552E62FD2
8. 2.8 Densities and differentiation of integrals9563E8B823D2
9. 2.9 Fourier analysis and incidence of complex lines99FBE9B23B3C
   1. 2.9.1 Fourier transform and energy4C3D61D53E89
   2. 2.9.9 Second derivatives and singular integrals4D259A5A576A
   3. 2.9.17 Unitarily invariant measures5254DB7AD29F
   4. 2.9.20 Circle selection and high-value sets965F35E04B2D
   5. 2.9.23 Projection densities and incidence3E5438AF5E6E