We describe all Euler like operators 𝐶, i.e. natural operators transforming tuples (λ, 𝑔) of Lagrangians λ: J s Y→ ∧ m T ∗ M on a fibred manifold 𝑌 → 𝑀 and functions 𝑔 : 𝑌 → 𝐑 into Euler maps C ...
In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the ...