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ODD–EVEN DECOMPOSITION OF FUNCTIONS
Published online by Cambridge University Press: 08 January 2020
Abstract
The main result of this note implies that any function from the product of several vector spaces to a vector space can be uniquely decomposed into the sum of mutually orthogonal functions that are odd in some of the arguments and even in the other arguments. Probabilistic notions and facts are employed to simplify statements and proofs.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 1 , August 2020 , pp. 104 - 108
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
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