Introduction To Pseudo-differential Operators, An (2nd Edition)

Differentiation of integrals depending on parameters; the convolution; the Fourier transform; tempered distributions; symbols, pseudo-differential operators and asymptotic expansions; a partition of unity and Taylor's formula; the product of two pseudo-differential operators; the formal adjoint of a pseudo-differential operator; the parametrix of an elliptic pseudo-differential operator; Lp boundedness of pseudo-differential operators; the Sobolev spaces; closed linear operators; minimal and maximal pseudo-differential operators; global regularity of elliptic partial differential operators; weak solutions of pseudo-differential equations.