On the convolution of Roumieu ultradistributions through the \(\epsilon\) tensor product

DOI10.1007/s00605-013-0503-4zbMath1297.46030OpenAlexW2045361361MaRDI QIDQ2636894

Bojan Prangoski, Stevan Pilipović

Publication date: 18 February 2014

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

Full work available at URL: https://doi.org/10.1007/s00605-013-0503-4

zbMATH Keywords

convolutionultradistributionsRoumieu type

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (11)

Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces ⋮ On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution ⋮ A sequential approach to the convolution of Roumieu ultradistributions ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III: Hilbert spaces and universality ⋮ Compatibility conditions and the convolution of functions and generalized functions ⋮ Convolution and Anti-Wick Quantisation on Ultradistribution Spaces ⋮ Anti-Wick and Weyl quantization on ultradistribution spaces ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations ⋮ Convolutors of translation-modulation invariant Banach spaces of ultradistributions ⋮ Convolution with the kernel \(e^{s\langle x\rangle^q}\), \(q\geq 1\), \(s>0\) within ultradistribution spaces ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Cites Work

• Théorie des distributions à valeurs vectorielles
• On convolvability conditions for distributions
• Topological properties of the dual pair \(<B(\Omega)',B(\Omega)>\)
• Convolution, product and Fourier transform of distributions
• Characterizations of Bounded Sets in Spaces of Ultradistributions
• Convolution and \(\mathcal S'\)-convolution of distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the convolution of Roumieu ultradistributions through the \(\epsilon\) tensor product