The Prehistory of the Theory of Distributions |
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Contents
Introduction | 1 |
Distributions in the Development of Functional | 9 |
Early Period The Vibrating String | 15 |
Copyright | |
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according already analytic applications argument Bochner boundary bounded calculus called century chapter classical close concept condition connection considered continuous functions convergence corresponding Courant currents curves defined definition derivatives described Dirichlet discussion domain equal equivalent Euler Evans example existence expression extension fact field finite formula Fourier transformation function function f fundamental gave give given Green's Hadamard Heaviside Hilbert ideas important infinitely interesting introduced later limit Math mathematical mathematicians means mentioned method nature obtained operator ordinary partial differential equations physical potential problem proof proved quantum mechanics question referred remarked represented respect result rigorous S-function satisfied Schwartz sense sequence showed similar Sobolev solution spaces string surface test function theorem theory of distributions tions treated treatment variables variational wave Wiener wrote zero


