Аннотация:In the present paper, we use the theory of functions of noncommuting
operators, also known as noncommutative analysis (which can be viewed
as a far-reaching generalization of pseudodifferential operator calculus), to
solve an asymptotic problem for a partial differential equation and show how,
starting from general constructions and operator formulas that seem to be
rather abstract from the viewpoint of differential equations, one can end up
with very specific, easy-to-evaluate expressions for the solution, useful, e.g.,
in the tsunami wave problem.