Connection between the algebra of kernels on the sphere and the Volterra algebra on the one-sheeted hyperboloid : holomorphic “perikernels”

DOI10.24033/bsmf.2183zbMath0770.47007OpenAlexW2469220681MaRDI QIDQ4017135

Giovanni Alberto Viano, Jacques Bros

Publication date: 16 January 1993

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1992__120_2_169_0

zbMATH Keywords

analytic continuationalgebra of holomorphic functions on the complex unit hyperboloidalgebra of kernels on the unit spherealgebra of Volterra kernels on the one-sheeted hyperboloiddistortion of integration cyclesperikernelsVolterra algebras of distribution kernels

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Linear operators on function spaces (general) (47B38) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (1)

Complexified de Sitter space: Analytic causal kernels and Källen-Lehmann-type representation

Cites Work

• Fredholm theory in complex manifolds with complex parameters: Analyticity properties and Landau singularities of the resolvent
• Volterra algebra and the Bethe–Salpeter equation
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
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