Odd–even decomposition of functions
Document Type
Article
Publication Date
1-8-2020
Department
Department of Mathematical Sciences
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.
Publication Title
Bulletin of the Australian Mathematical Society
Recommended Citation
Pinelis, I.
(2020).
Odd–even decomposition of functions.
Bulletin of the Australian Mathematical Society.
http://doi.org/10.1017/S0004972719001394
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/1604