Bergman-Type Integral Operators on Semiproducts of the Tube Domains over Symmetric Cones and Multifunctional Analytic Spaces


S. Kurilenko, R. Shamoyan




We introduce new Bergman type operators in semiproducts of tubular domains over symmetric cones. Properties of such Bergman-type integral operators on semi-products of the tubular domains over symmetric cones are obtained. We also define new multifunctional analytic spaces in tubular domains over symmetric cones and provide their basic properties.