On convolvability conditions for distributions

DOI10.1007/s00605-008-0087-6zbMath1213.46034OpenAlexW2061748688MaRDI QIDQ987410

Norbert Ortner and Peter Wagner

Publication date: 13 August 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0087-6

zbMATH Keywords

convolutiondistributionstensor products

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Tensor products in functional analysis (46M05)

Related Items (17)

Convolutional approach to fractional calculus for distributions of several variables ⋮ On extremal domains and codomains for convolution of distributions and fractional calculus ⋮ On the convolution of Roumieu ultradistributions through the \(\epsilon\) tensor product ⋮ Kernel identities and vectorial regularisation ⋮ On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution ⋮ Convolvability and regularization of distributions ⋮ Convolution on distribution spaces characterized by regularization ⋮ A distributional version of Frullani's integral ⋮ Compatibility conditions and the convolution of functions and generalized functions ⋮ Convolution and Anti-Wick Quantisation on Ultradistribution Spaces ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ The space \(\dot{\mathcal {B}}^\prime\) of distributions vanishing at infinity: duals of tensor products ⋮ Convolutors of translation-modulation invariant Banach spaces of ultradistributions ⋮ M. Riesz' kernels as boundary values of conjugate Poisson kernels ⋮ Convolution with the kernel \(e^{s\langle x\rangle^q}\), \(q\geq 1\), \(s>0\) within ultradistribution spaces ⋮ On the space of ultradistributions vanishing at infinity ⋮ Four particular cases of the Fourier transform

Cites Work

• Espaces de fonctions différentiables à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles
• Zur Faltung von Distributionen. (On convolution of distributions)
• Topological properties of the dual pair \(<B(\Omega)',B(\Omega)>\)
• Irreducibility of certain entire functions with applications to harmonic analysis
• On some contributions of John Horváth to the theory of distributions
• Composition of hypersingular integral operators
• Produits tensoriels topologiques et espaces nucléaires
• Convolution and \(\mathcal S'\)-convolution of distributions
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