The role of singular trajectories in control theory is analysed in this volume that contains
about 60 exercieses and problems. A section is devoted to the applications of singular …

We say that the initial data in the Cauchy problem are localized if they are given by functions
concentrated in a neighbourhood of a submanifold of positive codimension, and the size of …

The methods of processing radio occultation data in multipath zones which were used up to
now have very strong restrictions of the applicability. In this paper, we introduce a new …

The series is devoted to the publication of monographs and high-level textbooks in
mathematics, mathematical methods and their applications. Apart from covering important …

Fourier integral operators (FIOs) are used for constructing asymptotic solutions of wave
problems and for the generalization of the geometrical optics. Geometric optical rays are …

The resurgent function theory introduced by J. Ecalle is one of the most interesting theories
in mathematical analysis. In essence, the theory provides a resummation method for …

Начальные данные в задаче Коши мы называем локализованными, если они задаются
функциями, сосредоточенными в окрестности подмногообразия положительной …

In this chapter, the framework of analysis of the book is described, and the many
foundational facts required for this analysis are stated. The first two sections present …

The analysis and topology of elliptic operators on manifolds with singularities are much
more complicated than in the smooth case and require completely new mathematical …

Although contact geometry and topology is briefly discussed in VI Arnol'd's book
“Mathematical Methods of Classical Mechanics”(Springer-Verlag, 1989, 2nd edition), it still …