October 3rd, 2008, 1:40 pm – 3:00pm, Goldsmith 226

 

 

Title: The Fourier transform of general monotone functions

Speaker: Elijah Liflyand

 

Abstract:

To get sharp results on weighted integrability of the Fourier transform

of a function in terms of weighted integrability of the function itself

certain conditions on the function should be imposed. In 1972 R.P. Boas

conjectured that the result of such type is true for monotone functions.

In a joint work with S. Tikhonov,  Boas' conjecture is proved in affirmative

even for a wider class of functions - the so called general monotone

functions. This new class will be discussed along with certain of its

applications as well as results related to Boas' conjecture.