Shift-invariant Uniform Algebras on Groups

Shift-invariant Uniform Algebras on Groups
Author: Suren A. Grigoryan
Publisher: Springer Science & Business Media
Total Pages: 287
Release: 2006-08-08
Genre: Mathematics
ISBN: 3764376058

This book on the theory of shift-invariant algebras is the first monograph devoted entirely to an outgrowth of the established theory of generalized analytic functions on compact groups. Associated subalgebras of almost periodic functions of real variables and of bonded analytic functions on the unit disc are carried along within the general framework.

Banach Algebras and Their Applications

Banach Algebras and Their Applications
Author: Anthony To-Ming Lau
Publisher: American Mathematical Soc.
Total Pages: 362
Release: 2004
Genre: Mathematics
ISBN: 0821834711

This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.

Function Spaces

Function Spaces
Author: Krzysztof Jarosz
Publisher: American Mathematical Soc.
Total Pages: 330
Release: 2003
Genre: Mathematics
ISBN: 0821832697

This volume presents papers from the Fourth Conference on Function Spaces. The conference brought together mathematicians interested in various problems within the general area of function spaces, allowing for discussion and exchange of ideas on those problems and related questions. The lectures covered a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), $Lp$-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and related subjects. Included are 26 articles written by leading experts. Known results, open problems, and new discoveries are featured. Most papers are written for nonexperts, so the book can serve as a good introduction to the material presented.

Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications

Invariant Function Spaces on Homogeneous Manifolds of Lie Groups and Applications
Author: Mark Lʹvovich Agranovskiĭ
Publisher: American Mathematical Soc.
Total Pages: 158
Release: 1993-01-01
Genre: Mathematics
ISBN: 9780821897478

This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. The author obtains classifications of translation-invariant spaces and algebras of functions on semisimple and nilpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains. When such classifications are possible, they lead in many cases to new characterizations of the classical function spaces, from the point of view of their group of admissible changes of variable. The algebra of holomorphic functions plays an essential role in these classifications when a homogeneous complex or $CR$-structure exists on the manifold. This leads to new characterizations of holomorphic functions and their boundary values for one- and multidimensional complex domains.

Function Spaces in Modern Analysis

Function Spaces in Modern Analysis
Author: Krzysztof Jarosz
Publisher: American Mathematical Soc.
Total Pages: 256
Release: 2011-07-18
Genre: Mathematics
ISBN: 0821852515

This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.

Linear Operators in Function Spaces

Linear Operators in Function Spaces
Author: G. Arsene
Publisher: Birkhäuser
Total Pages: 344
Release: 2012-12-06
Genre: Science
ISBN: 303487250X

The Operator Theory conferences, organized by the Department of Mathematics of INCREST and the Department of Mathematics of the University of Timi~oara, are conceived as a means to promote cooperation and exchange of information between specialists in all areas of operator theory. This book comprises carefully selected papers on theory of linear operators and related fields. Original results of new research in fast developing areas are included. Several contributed papers focus on the action of linear operators in various function spaces. Recent advances in spectral theory and related topics, operators in indefinite metric spaces, dual algebras and the invariant subspace problem, operator algebras and group representations as well as applications to mathematical physics are presented. The research contacts of the Department of :viathematics of INCREST with the National Committee for Science and Technology of Romania provided means for developing the research activity in mathematics; they represent the generous framework of these meetings too. It is our pleasure to acknowledge the financial support of UNESCO which also contributed to the success of this meeting. We are indebted to Professor Israel Gohberg for including these Proceedings in the OT Series and for valuable advice in the editing process. Birkhauser Verlag was very cooperative in publishing this volume. Camelia Minculescu, Iren Nemethi and Rodica Stoenescu dealt with the difficult task of typing the whole manuscript using a Rank Xerox 860 word processor; we thank them for this exellent job.