Extended resolvent of heat operator with multisoliton potential
  The heat operator with a general multisoliton potential is considered and its extended resolvent, depending on a parameter $q\in\R^2$ is derived. Its boundedness properties in all variables and its discontinuities in the parameter $q$ are given. As the result, the Green's functions are introduced and their properties are studied in detail. 
M. Boiti, F. Pempinelli, A. K. Pogrebkov
nlin.SI