Silva worked in analytic functionals, the theory of distributions, vector-valued distributions, ultradistributions, the operational calculus, and differential calculus in locally convex spaces.
12.
As justified using the theory of distributions, the Cauchy equation can be rearranged to resemble Fourier's original formulation and expose the " ? "-function as:
13.
This was explored in a major debate in the 1960s the " Cambridge capital controversy " about the validity of neoclassical economics, with an emphasis on economic growth, capital, aggregate theory, and the marginal productivity theory of distribution.
14.
With this " LF "-space structure, C ^ \ infty _ c ( \ mathbb { R } ^ n ) is known as the space of test functions, of fundamental importance in the theory of distributions.
15.
Merely as indicating a general point of view, it may be noted that the marginal-productivity theory of distribution is adopted, with perhaps some degree of vagueness or vacillation as to the relation between distributive shares and competitive costs . . ."
16.
While Aristotle's theory of distribution of rewards and legitimacy of constitutions both deal with legitimation, the prior emphasizes an actors acceptance that rewards are just, while the latter is concerned with an actors acceptance of a " moral obligation to obey a system of power ."
17.
Frank Hahn took his doctoral degree in 1951 at the London School of Economics ( LSE ) for the thesis " The share of wages : an enquiry into the theory of distribution ", where he was supervised initially by Nicholas Kaldor and later by Lionel Robbins.
18.
In his 1966 paper " Marginal Productivity and the Macro-Economic Theory of Distribution : Comment on Samuelson and Modigliani " Nicholas Kaldor introduced this relationship as part of his broader theory, co-authored by Luigi Pasinetti, of a macroeconomic theory of distribution that was non-marginalist.
19.
In his 1966 paper " Marginal Productivity and the Macro-Economic Theory of Distribution : Comment on Samuelson and Modigliani " Nicholas Kaldor introduced this relationship as part of his broader theory, co-authored by Luigi Pasinetti, of a macroeconomic theory of distribution that was non-marginalist.
20.
However, this continuity assumption on \ mathbf { u } ^ { * }, enforced in the local form of the work theorem, is not absolutely required but can be relaxed by convenience, provided \ boldsymbol { \ varepsilon } ^ { * } can be useful as a generalized function, in the sense of the theory of distributions, see Gelfand and Shilov . Hence, this formulation considers that the displacement field \ mathbf { u } ^ { * }, is a piecewise continuous function, defined in terms of the Heaviside step function and therefore the corresponding strain field \ boldsymbol { \ varepsilon } ^ { * }, is a generalized function defined in terms of the Dirac delta function.
