Pseudodifferential Operator
Pseudodifferential operators extend differential operators through kernels conormal to the diagonal. Follow the bundle-valued kernel construction into ellipticity to connect symbol information with approximate inverses.
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Distribution in Analysis · Fourier Transform · Smooth Manifold · Smooth Vector Bundle
Where to read
Start here: Lectures on Pseudodifferential Operators
Richard Melrose · Lecture notes · English · Free full text
Chapter 5, §L5.5 Pseudodifferential operators, equation (L5.16), printed p. 55; Chapter 6 Ellipticity, equation (L6.13)
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