Abstract
In this chapter we present a brief description of the basic concepts and results from the theory of pseudo-differential operators – a modern theory of potentials –which will be used in the subsequent chapters. The development of the theory of pseudo-differential operators has greatly advanced our understanding of partial differential equations, and the pseudo-differential calculus has become an indispensable tool in contemporary analysis, in particular, in the study of elliptic boundary value problems. The calculus of pseudo-differential operators will be applied to elliptic boundary value problems in Chaps. 10 and 11.
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