Title

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

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