Operator Theory for Complex and Hypercomplex Analysis.

Intro -- Contents -- Preface -- The Bergman projection on sectorial domains -- Subelliptic geometry -- Higher order Cauchy Pompeiu operators -- A polydisk version of Beurling's characterization for invariant sub-spacesof finite multi-codimension -- A representation of solutions with singularities -- Bounded monogenic functions on unbounded domains -- L2 holomorphic functions on pseudo-convex coverings -- On some operators in Clifford analysis -- Toeplitz C*-algebras over non-convex cones and pseudo-sym-metric spaces -- On an application of the Bochner-Martinelli operator -- Local estimates for fractional integral operators and potentials -- Hankel operators on Clifford valued Bergman space -- Weitzenböck type formulas and joint seminormality -- C*-algebras of pseudodifferential operators and limit operators -- Bargmann projection, three-valued functions and corresponding Toeplitz operators -- Singular integral operators in the ∂ theory on convex domains in Cn -- Differentiation and integration of variable order and the spaces Lp(x) -- Twistor quantization of loop spaces and general Kähler manifolds -- On a class of integral representations related to the two-dimensional Helmholtz operator -- Cocycles on the gauge group and the algebra of Chern-Simons classes -- Boundary value problems treated with methods of Clifford analysis -- Analytic models of the quantum harmonic oscillator -- Interesting relations in Fock space -- Quantization: Some problems, tools, and applications.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.