Irregular operations in quantum field theory. I. Multiplication of distributions

DOI10.1016/0034-4877(78)90001-0zbMath0421.46032OpenAlexW2009090507MaRDI QIDQ1133110

Klaus Keller

Publication date: 1978

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(78)90001-0

zbMATH Keywords

quantum field theoryirregular operationsmultiplication of distributionsaxiomatic point of view

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (3)

Irregular operations in quantum field theory. II: Evaluation functionals and products, convolutions, integrals of distributions ⋮ Analytic regularizations, finite part prescriptions and products of distributions ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory

Cites Work

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• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Complex-dimensional invariant delta functions and lightcone singularities
• Analytic regularizations, finite part prescriptions and products of distributions
• Eine assoziative Algebra über einem Unterraum der Distributionen
• On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions

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