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Distributions in the Development of Functional
Generalized Differentiation and Generalized
The Age of Rigour
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5-function absolutely continuous functions adjoint analytic functionals applications argument Bochner boundary value Calkin Carleman Cauchy problem century classical concept condition connection convergence Courant curves d'Alembert defined derivatives Dieudonne differential operators Dirac Dirichlet problem discussion domain equivalent Euler Evans example existence expression Fantappie finite formula Fourier integrals Fourier series Fourier transformation Friedrichs functional analysis fundamental solution gave given Green's function Hadamard Hahn harmonic Heaviside Hilbert space hyperbolic hyperfunctions ideas improper functions infinitely introduced Lagrange Laplace Laplace's equation Lebesgue Leray limit linear Math mathematical mathematicians method Nikodym operational calculus ordinary paper partial differential equations partie finie physical physicists potential theory prehistory proof proved quantum mechanics Rham Riemann rigorous satisfied Schwartz sequence definition showed singular Sobolev spaces solutions to partial Stieltjes integral surface theory of distributions tions Tolhoek Tonelli variables vector vibrating string wave equation Weyl Wiener zero