MATHEMATICS COLLOQUIUM

WHAT'S HAPPENING IN THE MATHEMATICAL SCIENCES?

DEPARTMENT OF MATHEMATICS
UNIVERSITY OF NEBRASKA AT OMAHA

WHEN:     Thursday, March 2, 2000 at 2:20 pm
WHERE:   Durham Science Center, Room 255
WHAT:

James Daly
of the Department of Mathematics, University of Colorado, Colorado Spring, CO,
will give a talk on
Summability and Square Functions for Walsh and Fourier Series

ABSTRACT:
Zygmund (about 1950) was interested in some pointwise convergence and norm boundedness problems involving special Fourier series.  These series involved forms of the Fejer kernel in certain cases.  Sunouchi transferred this study to Walsh series about 10 years later.  Recent work has concentrated on studying these problems in the context of Vilenkin groups and extending the norm boundedness of related operators from Lebesgue spaces to Hardy spaces.  In this talk we will concentrate the history and applications to Walsh series.  We will conclude the talk with connections to multiplier operators and complete the circle by returning to Fourier series.

Refreshments served 30 minutes prior to the talk in DSC 255