Lateral connection problem and Stokes phenomenon for certain functional spaces

Our purpose is to investigate a lateral connection problem for matrix differential equations with an irregular singularity in case of a multiple Stokes ray. We reduce this problem to constructing the so-called Stokes operators in certain functional spaces using the results of [7,9]. We also extend the recently obtained [5,10] analytical expression for Stokes matrix in case of a multiple Stokes ray.