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Rudin-Shapiro sequences for arbitrary compact groups
Published online by Cambridge University Press: 09 April 2009
Abstract
Let G be a compact group. A sequence of functions in L∞ (G) is said to be a Rudin-Shapiro sequence (briefly, an RS-sequence) if the following conditions hold: (1) (2) (3) The main purpose here is to prove the following theorem: Theorem: Theorem. Let G be an infinite compact group. Then G has an RS-sequence consisting of trigonometric polynomials.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 22 , Issue 4 , December 1976 , pp. 421 - 430
- Copyright
- Copyright © Australian Mathematical Society 1976
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