- Title
- A noncommutative half-angle formula
- Creator
- Willis, George
- Relation
- Bulletin of the Australian Mathematical Society Vol. 69, p. 369-382
- Publisher Link
- http://dx.doi.org/10.1017/S0004972700036157
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2004
- Description
- The half-angle formulæ, familiar from trigonometry, can be used to compute the polar decomposition of the operator on l²(ℤ) of convolution by δ0 + δ1. This calculation is extended here to a non-commutative setting by computing the polar decomposition of certain convolution operators on the spaces of square integrable functions of free groups.
- Subject
- half-angle formula; trigonometry; noncommutative settings; integrable functions
- Identifier
- http://hdl.handle.net/1959.13/933257
- Identifier
- uon:11586
- Identifier
- ISSN:0004-9727
- Language
- eng
- Full Text
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