A theory of summability on a space of generalized functions

DOI10.1155/2013/384545zbMath1282.46037OpenAlexW2012582435WikidataQ59014060 ScholiaQ59014060MaRDI QIDQ362761

Wilson Lamb, Khaula Naeem Khan

Publication date: 30 August 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/384545

zbMATH Keywords

almost-periodic generalized functionsorthonormal expansionsunordered sums

Mathematics Subject Classification ID

Classical almost periodic functions, mean periodic functions (42A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Orthogonal series representations for generalized functions
• Spectral theory and functional calculus for operators on spaces of generalized functions
• Fractional calculus of periodic distributions
• On Zemanian's distributional eigenfunction transforms
• Conditional mode-elimination and the subgrid-modeling problem for isotropic turbulence
• Fractional transformations of generalized functions
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
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