Thin sets and strict-two-associatedness

Let G be a compact, abelian group and let E be a subset of its discrete, abelian, dual group Ĝ. E is said to be a ∧(p) set if for some r < p there is a constant c(r) so that ‖ƒ‖ [sub p] ≤ c(r) ‖ƒ‖ [sub r] whenever the support of ƒ, the Fourier transform of ƒ, is a finite subset of E. The main...

Full description

Bibliographic Details
Main Author: Hare, Kathryn Elizabeth
Language:English
Published: University of British Columbia 2010
Online Access:http://hdl.handle.net/2429/27107