The nuclearity of Gelfand-Shilov spaces and kernel theorems

DOI10.1007/s13348-020-00286-2zbMath1465.46003arXiv1910.09944OpenAlexW3022788173MaRDI QIDQ2228332

Lenny Neyt, Jasson Vindas, Andreas Debrouwere

Publication date: 17 February 2021

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09944

zbMATH Keywords

Gelfand-Shilov spacesnuclear spacesSchwartz kernel theoremsweight function systemsweight sequence systems

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (10)

The Cauchy problem for 3-evolution equations with data in Gelfand-Shilov spaces ⋮ Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces ⋮ On extremal domains and codomains for convolution of distributions and fractional calculus ⋮ A note on the barrelledness of weighted PLB-spaces of ultradifferentiable functions ⋮ Kernel theorems for Beurling-Björck type spaces ⋮ Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting ⋮ Convolutors of translation-modulation invariant Banach spaces of ultradistributions ⋮ Extension of localisation operators to ultradistributional symbols with super-exponential growth ⋮ Wiener amalgam spaces of quasianalytic ultradistributions ⋮ Global wave front sets in ultradifferentiable classes

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