%0 Journal Article %T A note on analytical representability of mappings inverse to integral operators %A Mikhail I. Ostrovskii %J Mathematics %D 1993 %I arXiv %X The condition onto pair ($F,G$) of function Banach spaces under which there exists a integral operator $T:F\to G$ with analytic kernel such that the inverse mapping $T^{-1}:$im$T\to F$ does not belong to arbitrary a priori given Borel (or Baire) class is found. %U http://arxiv.org/abs/math/9303205v1