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Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift
The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857). In particular, such problems exhibit as boundary conditions relations among values of the unknown analytic functions which have to be evaluated at different points of the boundary. Singular integral equations with a shift are connected with such boundary value problems in a natural way. Subsequent to Riemann's work, D. Hilbert (1905), C. Haseman (1907) and T. Carleman (1932) also considered problems of this type. About 50 years ago, Soviet mathematicians began a systematic study of these topics. The first works were carried out in Tbilisi by D. Kveselava (1946-1948). Afterwards, this t...
Introduction to the Theory of Singular Integral Operators with Shift
This book is devoted to the Fredholm theory of singular integral operators with shift in Lp, 1
Factorization, Singular Operators and Related Problems
These proceedings comprise a large part of the papers presented at the In ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of th Madeira, Funchal, Portugal, to mark Professor Georgii Litvinchuk's 70 birth day. Experts in a variety of fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of vari ous areas of operator theory. The main themes of the conference were focussed around the theory of singular type operators and factorization problems, but other topics such as potential theory and fractional calculus, to name but a cou...
Complex Analysis and Dynamical Systems V
This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential
Operator Algebras, Operator Theory and Applications
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.
Factorization, Singular Operators and Related Problems
The International Conference on Factorization, Singular Operators and Related Problems held from January 28 to February 1, 2002, at the University of Madeira, Funchal, Portugal, was dedicated to mark Professor Georgii Litvinchuk's 70th birthday. Experts in various fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of various topics of operator theory. The main topics of the conference were in the theory of singular type operators and in factorization problems, but other topics such as potential theory, fractional calculus and others were also presented. The 21 articles published in this book will be of great interest to researchers in Operator Theory, Real and Complex Analysis, Functional and Harmonic Analysis, Potential Theory, Fractional Calculus and others, as well as to graduate students requiring the most up-to-date results.
