Peetre theorem for nonlinear operators

DOI10.1007/BF00054575zbMath0636.58042OpenAlexW142983888MaRDI QIDQ1098150

Jan Slovák

Publication date: 1988

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00054575

zbMATH Keywords

multilinear operatorslocal operatorsnatural bundlesnatural operatorsorder of local operatorsPeetre theorem

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99)

Related Items (15)

Automatic continuity of transversal distributions ⋮ Analytic dependence is an unnecessary requirement in renormalization of locally covariant QFT ⋮ On multilinear operators commuting with Lie derivatives ⋮ Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮ On regular local operators on smooth maps ⋮ Properties of field functionals and characterization of local functionals ⋮ Bundle functors on fibred manifolds ⋮ On Wick polynomials of boson fields in locally covariant algebraic QFT ⋮ Natural bundles and operators ⋮ On the naturalness of Einstein's equation ⋮ Infinitesimally natural operators are natural ⋮ Natural operations on differential forms ⋮ Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues ⋮ Energy and electromagnetism of a differential k-form ⋮ On a nonlinear Peetre's theorem in full Colombeau algebras

Cites Work

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• Local cohomology of the algebra of \(C^\infty\) functions on a connected manifold
• Natural tensors on Riemannian manifolds
• Natural bundles have finite order
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• Locally Determined associated Spaces
• Transformation Groups and Natural Bundles

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