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Introduction to Pseudodifferential Operators

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Boundary Integral Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 164))

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Abstract

The pseudodifferential operators provide a unified treatment of differential and integral operators. They are based on the intensive use of the Fourier transformation \(\mathcal{F}\) (3.1.12) and its inverse \(\mathcal{F}\) –1 \(=\mathcal{F}\)*(3.1.14). The linear pseudodifferential operators can be characterized by generalized Fourier multipliers, called symbols.

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Correspondence to George C. Hsiao .

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Hsiao, G.C., Wendland, W.L. (2021). Introduction to Pseudodifferential Operators. In: Boundary Integral Equations. Applied Mathematical Sciences, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-030-71127-6_7

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