Vol. 105, No. 1, 1983

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Indicator functions with large Fourier transforms

Gavin Brown, Irving Leonard Glicksberg and Edwin Hewitt

Vol. 105 (1983), No. 1, 11–20
Abstract

We consider the question of when the function

t ↦→ tˆ1F(t)

is bounded, where 1F 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
Authors
Gavin Brown
Irving Leonard Glicksberg
Edwin Hewitt