THE THEOREM OF COMPOSITION FOR A CLASS OF DEGENERATE PSEUDODIFFERENTIAL OPERATORS WITH SYMBOL-DEPENDENT COMPLEX PARAMETER
The Article is devoted to the proof of the composition theorem for a class of pseudo-differential equations with degeneration. A new class of symbol variables that also depend on a complex parameter is considered. Pseudodifferential operators are constructed by a special integral transformation. A formula for representing the superposition of degenerate pseudo-differential operators is obtained. Obtained the asymptotic formula of the symbol of a superposition of degenerate pseudodifferential operators.