Generalized Function Algebras Containing Spaces of Periodic Ultradistributions

DOI10.1007/978-3-319-51911-1_5zbMath1394.46030arXiv1710.00552OpenAlexW2963174982MaRDI QIDQ4607774

Andreas Debrouwere

Publication date: 14 March 2018

Published in: Generalized Functions and Fourier Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00552

zbMATH Keywords

unit circledifferential algebraweight sequencereal analytic functionimpossibility result

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (2)

A nonlinear theory of infrahyperfunctions ⋮ Beyond Wiener's lemma: nuclear convolution algebras and the inversion of digital filters

Cites Work

• Nonlinear maps in spaces of distributions
• Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. I
• Optimal embeddings of ultradistributions into differential algebras
• Structure of quasi-analytic ultradistributions
• Colombeau generalized ultradistributions
• Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
• Characterizations of Bounded Sets in Spaces of Ultradistributions
• Structural Theorems for Periodic Ultradistributions
• Laplace transform in spaces of ultradistributions
• Sequence spaces with exponent weights. Realizations of Colombeau type algebras
• Generalized hyperfunctions on the circle
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