An algebra of distributions related to a star product with separation of variables

Abstract

Given a star product with separation of variables $\star$ on a pseudo-Kähler manifold $M$ and a point $x_0\in M$, we construct an associative algebra of formal distributions supported at $x_0$. We use this algebra to express the formal oscillatory exponents of a family of formal oscillatory integrals related to the star product $\star$.

arXiv comment26 pages, a new introduction is written