The review is devoted to the historical and modern understanding of rheological properties
of emulsions in a broad range of concentration. In the limiting case of dilute emulsions, the …

Generalized Schur functions are scalar-or operator-valued holomorphic functions such that
certain associated kernels have a finite number of negative squares. This book develops the …

These notes are based on lectures given at the University of Virginia over the past twenty
years. They may be viewed as a course in function theory for nonspecialists. Chapters 1-6 …

Kre n space operator theory has long been a principal area of research in eastern
mathematics, and it is now enjoying a surge of interest in western countries as well. The …

In this paper, a new general approach is developed to construct and study Lebesgue‐type
decompositions of linear operators or relations TT in the Hilbert space setting. The new …

(1.1) implies that the matrix A is hermitian. Here A* denotes the conjugate transpose of the
matrix A. The answer is yes (of course, only the case of singular A is nontrivial), as can be …

We are going to consider the M. Kreĭn classical papers on the theory of semi-bounded
operators and the theory of contractive self-adjoint extensions of Hermitian contractions, and …

We study Gleason's problem, rational functions and spaces of regular functions in the setting
of split-quaternions. There are two natural symmetries in the algebra of split-quaternions …

We consider G-projectors (orthogonal projections) defined on an indefinite inner product
space, and derive in a systematic way the indefinite counterparts of a number of useful …

This paper presents the conditions of solvability and describes all solutions of the matrix
version of the Nevanlinna-Pick interpolation problem for time-varying input-output maps. The …