Convolution of vector-valued distributions: A survey and comparison

DOI10.4064/dm495-0-1zbMath1305.46032arXiv1509.07630OpenAlexW2330100917MaRDI QIDQ5397510

Christian Bargetz, Norbert Ortner and Peter Wagner

Publication date: 21 February 2014

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07630

zbMATH Keywords

convolutionsvector-valued distributionstopological tensor productsbilinear mappings

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (9)

Kernel identities and vectorial regularisation ⋮ On regularization of vector distributions on manifolds ⋮ On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution ⋮ Convolution and Anti-Wick Quantisation on Ultradistribution Spaces ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ 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 ⋮ Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems ⋮ Completing the Valdivia-Vogt tables of sequence-space representations of spaces of smooth functions and distributions

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