Functions of perturbed $n$-tuples of commuting self-adjoint operators

Fyodor Nazarov, Vladimir Peller

Let $(A_1,\cdots ,A_n)$ and $(B_1,\cdots ,B_n)$ be $n$-tuples of commuting self-adjoint operators on Hilbert space. For functions $f$ on ${\mathbb{R}}^n$ satisfying certain conditions, we obta…