The paper surveys open problems and questions related to different aspects of integrable
systems with finitely many degrees of freedom. Many of the open problems were suggested …

Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

The algebraic theory of automata was created by Schützenberger and Chomsky over 50
years ago and there has since been a great deal of development. Classical work on the …

In this book the authors develop a theory of free noncommutative functions, in both algebraic
and analytic settings. Such functions are defined as mappings from square matrices of all …

Based on high quality surgery and scientific data, scientists and surgeons are committed to
protecting patients as well as healthcare staff and hereby provide this Guidance to address …

Matrices play an important role in both pure and applied mathematics. Matrices with entries
in rings have been intensively studied and used (eg, see [22, 87]); as well as matrices with …

A new approach to interpolation theory for functions of several variables is proposed. We
develop a multivariate divided difference calculus based on the theory of noncommutative …

Given a matrix polynomial, matrix bi-orthogonal polynomials with respect to the sesquilinear
form where is a matrix of Borel measures supported in some infinite subset of the real line …

Abstract The Sasa–Satsuma equation is an integrable higher-order nonlinear Schrödinger
(NLS) equation. Higher-order and multicomponent generalizations of the NLS equation are …

A noncommutative version of the KP equation and two families of its solutions expressed as
quasideterminants are discussed. The origin of these solutions is explained by means of …