Method of Spectral Mappings in The Inverse Problem Theory

Hydrodynamic equations well describe averaged parameters of turbulent steady flows, at least in pipes where boundary conditions can be estimated. The equations might outline the parameters fluctuations as well, if entry conditions at current boundaries were known. This raises, in addition, the more comprehensive problem of the primary perturbation nature, noted by H.A. Lorentz, which still remains unsolved.

This book is intended for researchers interested in new aspects of local behavior of plane mappings and their applications. The presentation is self-contained, but the reader is assumed to know basic complex and real analysis.

Authors: Koshmanenko, Volodymyr, Dudkin, Mykola
Deals with singular quadratic forms and singular perturbations of self-adjoint operators considered in rigged Hilbert spaces
Demonstrates the theory of singular perturbations by three notions into a unique object with a three-face image existing in the rigged Hilbert space
Provides an adequate tool for exploration of the singular perturbation problem