Jubilee 2019

Raymond Johnson

Professor Emeritus, University of Maryland, College Park

Title:

Spectral Synthesis and $H^1(R)$

Abstract:

I will discuss joint work with C. R. Warner. We study spectral synthesis using an integral considered by Beurling and Pollard,

\[ B(f,E) = \int_{E^c} \frac{|\hat{f}(t)|}{\rho(t,E)} dt,\]

but on real $H^1(R)$. We introduce a class of sets, which can be controlled using $L^1(R)$ when they are large, but which seem to require $H^1(R)$ when the sets are small, such as points.


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