Geodesic
Bergman-Type Integral Operators on Semiproducts of the Tube Domains over Symmetric Cones and Multifunctional Analytic Spaces
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 194 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Classification : 32A07 32A10, 32A37
Keywords: Bergman-type integral operators, tubular domains, analytic functions, Bergman-type spaces, multifunctional analytic spaces in tubular domains 
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     author = {S. Kurilenko and R. Shamoyan},
     title = {Bergman-Type {Integral} {Operators} on {Semiproducts} of the {Tube} {Domains} over {Symmetric} {Cones} and {Multifunctional} {Analytic} {Spaces}},
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S. Kurilenko; R. Shamoyan. Bergman-Type Integral Operators on Semiproducts of the Tube Domains over Symmetric Cones and Multifunctional Analytic Spaces. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 194 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a5/