Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality

Dasgupta, A; Ruzhansky, M

dc.contributor.author	Dasgupta, A
dc.contributor.author	Ruzhansky, M
dc.date.accessioned	2021-04-12T13:44:26Z
dc.date.available	2021-04-12T13:44:26Z
dc.date.issued	2021-03
dc.identifier.citation	Dasgupta, Aparajita, and Michael Ruzhansky. "Eigenfunction Expansions Of Ultradifferentiable Functions And Ultradistributions. III. Hilbert Spaces And Universality". Journal Of Fourier Analysis And Applications, vol 27, no. 2, 2021. Springer Science And Business Media LLC, doi:10.1007/s00041-021-09817-2. Accessed 12 Apr 2021.	en_US
dc.identifier.uri	https://qmro.qmul.ac.uk/xmlui/handle/123456789/71190
dc.description.abstract	In this paper we analyse the structure of the spaces of smooth type functions, generated by elements of arbitrary Hilbert spaces, as a continuation of the research in our previous papers in this series. We prove that these spaces are perfect sequence spaces. As a consequence we describe the tensor structure of sequential mappings on the spaces of smooth type functions and characterise their adjoint mappings. As an application we prove the universality of the spaces of smooth type functions on compact manifolds without boundary.	en_US
dc.publisher	Springer	en_US
dc.rights	This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
dc.rights	Attribution 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/us/	*
dc.subject	math.FA	en_US
dc.subject	math.FA	en_US
dc.subject	math.AP	en_US
dc.subject	math.SP	en_US
dc.subject	Primary 46F05, Secondary 22E30	en_US
dc.title	Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality	en_US
dc.type	Article	en_US
dc.rights.holder	© 2021, The Author(s)
pubs.author-url	http://arxiv.org/abs/1812.01283v1	en_US
pubs.notes	Not known	en_US
rioxxterms.funder	Default funder	en_US
rioxxterms.identifier.project	Default project	en_US
qmul.funder	Regularity in affiliated algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council	en_US
qmul.funder	Regularity in affiliated algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council	en_US
qmul.funder	Regularity in affiliated algebras and applications to partial differential equations::Engineering and Physical Sciences Research Council	en_US

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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Except where otherwise noted, this item's license is described as This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.