Laguerre expansions of Gel'fand-Shilov spaces

DOI10.1006/jath.1993.1067zbMath0789.41018OpenAlexW1967197604MaRDI QIDQ1308799

Antonio J. Duran

Publication date: 30 May 1994

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1993.1067

zbMATH Keywords

Gel'fand-Shilov spacesFourier-Laguerre coefficientsHankel-Clifford transformSchwarz spaces

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (7)

Unnamed Item ⋮ \(G\)-type spaces of ultradistributions over \(\mathbb {R}^d_+\) and the Weyl pseudo-differential operators with radial symbols ⋮ Relations between Hermite and Laguerre expansions of ultradistributions over \(\mathbb R^d\) and \(\mathbb R^d_+\) ⋮ Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable ⋮ Gelfand-Shilov spaces for the Hankel transform ⋮ Localization of Fréchet frames and expansion of generalized functions ⋮ A STRUCTURE THEOREM FOR THE SPACE $({G}^{\alpha}_{\alpha})^{\prime}$

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