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 …

Page 1 Mathematical Surveys and Monographs Volume 92 Operators, Functions, and Systems:
An Easy Reading Volume 1: Hardy, Hankel, and Toeplitz Nikolai K. Nikolski American …

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 …

We prove necessary conditions for the Fredholmness of singular integral operators with
piecewise continuous coefficients on weighted Banach function spaces. These conditions …

We consider singular integral operators with piecewise continuous coefficients on reflexive
Orlicz spaces Lm (σ) which are generalizations of the Lebesgue spaces LP (σ), 1< p<∞. We …