Titlebook: Generalized Functions; Theory and Applicati Ram P. Kanwal Textbook 2004Latest edition Springer Science+Business Media New York 2004 Boundar

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Applications to Wave Propagation,ul method of attacking these problems is to embed them in the whole space. This is achieved by extending the solution to the other side of the surface in some suitable fashion, as we did in deriving the Poisson integral formula in Chapter 10. We then obtain a regular singular function that satisfies

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dysphagia

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The Laplace Transform,is variable in this chapter. Let .(.) be a complex-valued function of the real variable . such that .(.).. is abolutely integrable over 0 < . < ∞, where . is a real number. Then the Laplace transform of .(.). ≥ 0, is defined as .where . = σ + .ω. The Laplace transform defined by (1) has the following basic properties.

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