Department of Mathematics
Mathematics Colloquium - Spring 2016
Wednesday, March 2nd, 2016
3:00pm - 4:00pm, in McCormack 2-404
3:00pm - 4:00pm, in McCormack 2-404
Fulton Gonzalez
Tufts UniversityMean value Operators, Group Theory, and Integral Geometry
Abstract:
An old classical result says that a continuous function f on
R^n is harmonic if and only if its average value over any sphere
equals its value at the center. In this talk, we'll explore various
extensions of this principle, focusing primarily on symmetric spaces.
We will also explore various integral transforms associated with mean
value operators, and consider some applications to wave equations in
one and many time variables.
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Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460; Fax: 617-287-6433 Information: math@umb.edu |
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