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THE THEORY OF DISTRIBUTIONS
Operations on distributions
Regularization of functions with algebraic singular
13 other sections not shown
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airfoil analytic continuation analytic function applied arbitrary Banach space boundary value problem bounded rational functions bounded sets calculations chapter coefficients complex consider continuous function continuous linear functional convolution product convolutor coordinate defined definition denoted diffraction Dirac distribution belonging distribution f distributional sense divergent convolution integrals downwash dual space equal f x,y,z finite fM(k formula Fourier transform func functions f(k given Hence hyperboloid independent variables infinitely differentiable integrable function introduced Klein-Gordon equation leading edge lemma lift distribution light cone lim f Lorentz Lorentz-invariant solutions m2+P Mach cone neighbourhood norms plane z=0 polynomial positive number pulse quadratic form region relation respect right-hand side satisfies screen sequence simple poles space of test subsonic supersonic test functions test functions belonging theorem theory of distributions tion topological vector spaces valid vanishes velocity potential wave equation weak limit wing surface x)dx