Question

ϕ(x,y)=X(x)Y(y) mean?​

Answer 1

Step-by-step explanation:

Yes, one can make sense of this according to the following: if ϕ:X→X is a function on a vector space (not even necessarily linear), and if p(x)=ax2+bx+c is a polynomial, then

p(ϕ)=a(ϕ∘ϕ)+bϕ+cIdX

where ϕ∘ϕ indicates composition of ϕ with itself, and IdX is the identity map. We can generalize this appropriately to any polynomial p.

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