©1985 American Mathematical Society

Neuronal generators and the problem of localization in electroencephalography: application of volume conductor theory to electroencephalography.

A Heuristic Argument for Hua's Identity Using Geometric Series

JOSE PUJOL received a B.S. in chemistry from the Universidad Nacional del Sur, Bahia Blanca, Argentina, in 1968. As an undergraduate, he also took classes in advanced mathematics. He was fortunate to have excellent teachers who showed him how to think about mathematics in a rigorous way. After graduate studies in quantum chemistry in Sweden and Germany, he switched to geophysics, with additiona...

Professional Society Ethics Group exchanges experience.

A brief report is given of the October 1984 semiannual meeting of the Professional Society Ethics Group, which comprises 26 societies affiliated with the American Association for the Advancement of Science. At the meeting, a representative of the American College of Physicians (ACP) discussed a new ACP Ethics Manual written by an ad hoc committee of the ACP to address major ethical issues enco...

Transient Anomalous Sub-diffusion on Bounded Domains.

This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractional derivatives is solved. Then a separation of variables and eigenfunction expansions in time and space are used to write strong solutions. Finally, stochastic solutions are written in terms of an inverse subordinator.

How many Laplace transforms of probability measures are there?

A bracketing metric entropy bound for the class of Laplace transforms of probability measures on [0, ∞) is obtained through its connection with the small deviation probability of a smooth Gaussian process. Our results for the particular smooth Gaussian process seem to be of independent interest.