This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

These lecture notes present an extensive review of the factorization theory of matrix
functions relative to a curve with emphasis on the developments of the last 20–25 years. The …

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-
contained exposition of the spectral theory of Toeplitz operators with piecewise continuous …

This paper represents a broadened version of the plenary lecture presented by the author at
the conference Analytic Methods of Analysis and Differential Equations (AMADE-2003) …

This text has two goals. It describes a topic: band and band-dominated operators and their
Fredholm theory, and it introduces a method to study this topic: limit operators. Band …

This book is an introduction to convolution operators with matrix-valued almost periodic or
semi-almost periodic symbols. The basic tools for the treatment of the operators are Wiener …

One of the great challenges of the spectral theory of singular integral operators is a theory
unifying the three" forces" which determine the local spectra: the oscillation of the Carleson …

It is well known that for Banach algebras generated by two idempotents and the identity all
irreducible representations are of order not greater than two. These representations have …

For the singular integral operators with piecewise continuous coefficients there is proved the
criterion of Fredholmness and formula for index in the generalized Lebesgue spaces Lp …

The paper is devoted to some only recently uncovered phenomena emerging in the study of
singular integral operators (SIO's) with piecewise continuous (PC) coefficients in reflexive …