MATHEMATICS COLLOQUIUM

Generalized Quotients

with Applications in Analysis

Dr. Piotr Mikusinski

Professor of Mathematics

University of Central Florida

Starting from a nonempty set X and a commutative semigroup G acting on X we construct a new space (X;G) whose algebraic character is similar to a quotient field. The construction of the quotient field from an integral domain is a special case of our construction. Other interpretations of the construction include the space of Schwartz distributions of finite order, tempered distributions, Radon measures, and Boehmians.

Date: Monday, November 22

Time: 3:15pm

Place: J. Wiener Lecture Hall (MAGC 1.302)

Refreshments will be served at 3:00pm.

For further information or for special accommodations, contact Dr. Cristina Villalobos at

381-2123 or visit www.math.panam.edu/colloquia.html