Titlebook: Boundary Integral Equations; George C. Hsiao,Wolfgang L. Wendland Book 2021Latest edition Springer Nature Switzerland AG 2021 Fredholm alt

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Introduction to Pseudodifferential Operators,The pseudodifferential operators provide a unified treatment of differential and integral operators. They are based on the intensive use of the Fourier transformation . (3.1.12) and its inverse . . .(3.1.14). The linear pseudodifferential operators can be characterized by generalized Fourier multipliers, called symbols.

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Pseudodifferential and Boundary Integral Operators,ral operators including those presented in the previous chapters belong to the special class of classical pseudodifferential operators on compact manifolds. We are particularly interested in strongly elliptic systems of pseudodifferential operators providing G?rding‘s inequality, see Theorem 9.1.4.

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