2 citations · 6 across the 28 of their papers we have counts for
28 papers
A Fourier Inversion Theorem for Normal Functions
Tristram de Piro
We prove an inversion theorem for the Fourier transform defined for normal functions, in the case when such functions are of moderate decrease, and in dimensions 2 and 3. This impr…
Functions Analytic at Infinity and Normality
Tristram de Piro
Given a charge and current distribution with compact support, the associated potentials and fields are generally not integrable in the classical sense. However, it is convenient to…
Non Oscillatory Functions and A Fourier Inversion Theorem for Some Functions of Very Moderate Decrease
Tristram de Piro
We consider non oscillatory functions and prove an everywhere Fourier Inversion Theorem for functions of very moderate decrease. The proofs rely on some ideas in nonstandard analys…
Equilibria in Electrochemistry and Maximal Rates of Reaction
Tristram de Piro
We consider Gibbs' definition of chemical equilibrium and connect it with dynamic equilibrium, in terms of no substance formed. We determine the activity coefficient as a function…
Some Arguments for the Wave Equation in Quantum Theory 2
Tristram de Piro
We prove that if the frame S is decaying surface non-radiating, in the sense of Definition 1.1, then if the charge and current are analytic, either they both vanish, or S is non-ra…
Some Arguments for the Wave Equation in Quantum Theory
Tristram de Piro
We clarify some arguments concerning Jefimenko's equations, as a way of constructing solutions to Maxwell's equations, for charge and current satisfying the continuity equation. We…