Contemporary Mathematics 1998; 298 pp; softcover Volume: 212 ISBN10: 0821806777 ISBN13: 9780821806777 List Price: US$79 Member Price: US$63.20 Order Code: CONM/212
 This book presents a collection of papers on certain aspects of general operator theory related to classes of important operators: singular integral, Toeplitz and Bergman operators, convolution operators on Lie groups, pseudodifferential operators, etc. The study of these operators arises from integral representations for different classes of functions, enriches pure operator theory, and is influential and beneficial for important areas of analysis. Particular attention is paid to the fruitful interplay of recent developments of complex and hypercomplex analysis on one side and to operator theory on the other. The majority of papers illustrate this interplay as well as related applications. The papers represent the proceedings of the conference "Operator Theory for Complex and Hypercomplex Analysis", held in December 1994 in Mexico City. Readership Graduate students and research mathematicians interested in operator theory, analysis of one and several complex variables, hypercomplex analysis, functional analysis, mathematical physics and related areas. Table of Contents  D. E. Barrett  The Bergman projection on sectorial domains
 R. Beals, B. Gaveau, and P. Greiner  Subelliptic geometry
 H. Begehr and G. N. Hile  Higher order Cauchy Pompeiu operators
 M. Cotlar and C. Sadosky  A polydisk version of Beurling's characterization for invariant subspaces of finite multicodimension
 B. Fischer and N. Tarkhanov  A representation of solutions with singularities
 E. Franks and J. Ryan  Bounded monogenic functions on unbounded domains
 M. Gromov, G. Henkin, and M. Shubin  \(L^2\) holomorphic functions on pseudoconvex coverings
 K. Gürlebeck  On some operators in Clifford analysis
 U. Hagenbach and H. Upmeier  Toeplitz \(C^*\)algebras over nonconvex cones and pseudosymmetric spaces
 A. M. Kytmanov and S. G. Myslivets  On an application of the BochnerMartinelli operator
 N. K. Karapetyants  Local estimates for fractional integral operators and potentials
 C. Li and Z. Wu  Hankel operators on Clifford valued Bergman space
 M. Martin and N. Salinas  Weitzenböck type formulas and joint seminormality
 V. S. Rabinovich  \(C^*\)algebras of pseudodifferential operators and limit operators
 E. R. de Arellano and N. Vasilevski  Bargmann projection, threevalued functions and corresponding Toeplitz operators
 R. M. Range  Singular integral operators in the \(\bar{\partial}\) theory on convex domains in \(\mathbb{C}^n\)
 S. G. Samko  Differentiation and integration of variable order and the spaces \(L^{p(x)}\)
 A. G. Sergeev  Twistor quantization of loop spaces and general Kähler manifolds
 M. Shapiro and L. M. Tovar  On a class of integral representations related to the twodimensional Helmholtz operator
 M. M. Smirnov  Cocycles on the gauge group and the algebra of ChernSimons classes
 W. Sprössig  Boundary value problems treated with methods of Clifford analysis
 F. H. Szafraniec  Analytic models of the quantum harmonic oscillator
 A. Turbiner  Interesting relations in Fock space
 A. Unterberger  Quantization: Some problems, tools, and applications
