Indicator functions with large Fourier transforms

Gavin Brown, Irving Leonard Glicksberg and Edwin Hewitt

Vol. 105 (1983), No. 1, 11–20

DOI: 10.2140/pjm.1983.105.11

Abstract

We consider the question of when the function

is bounded, where 1_F is the indicator function of a compact set F in R and “ ˆ ” denotes the Fourier transform.

Mathematical Subject Classification 2000

Primary: 42A38

Secondary: 42A75

Milestones

Received: 7 July 1981

Revised: 19 January 1982

Published: 1 March 1983