Volterra algebra and the Bethe–Salpeter equation

DOI10.1063/1.527190zbMath0586.45004OpenAlexW1984857201MaRDI QIDQ3712783

Giovanni Alberto Viano, Jacques Faraut

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527190

zbMATH Keywords

diagonalizationspherical Laplace transformVolterra algebra

Mathematics Subject Classification ID

Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Integral equations with miscellaneous special kernels (45H05)

Related Items (7)

Spherical functions on ordered symmetric spaces ⋮ Connection between the algebra of kernels on the sphere and the Volterra algebra on the one-sheeted hyperboloid : holomorphic “perikernels” ⋮ On the solution of the inverse scattering problem, at fixed energy, for the class of Yukawian potentials ⋮ On irreducible sl(2,\({\mathbb{R}})\)-modules and \(sl_ 2\)-triples ⋮ Complexified de Sitter space: Analytic causal kernels and Källen-Lehmann-type representation ⋮ Hausdorff moments, Hardy spaces, and power series ⋮ Holomorphic extension associated with Fourier-Legendre expansions

Cites Work

• Partial diagonalization of absorptive part equations by Laplace transforms
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Une Transformation de Laplace–Jacobi
• Product Formulas and Nicholson-Type Integrals for Jacobi Functions. I: Summary of Results
• Laplace Transforms and the Diagonalization of Bethe-Salpeter Equations for Absorptive Parts

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