Decomposition of spaces of distributions induced by tensor product bases

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dc.creatorIvanov, Kamen
dc.creatorPetrushev, Pencho
dc.creatorXu, Yuan
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:42:12Z
dc.date.available2026-07-07T12:42:12Z
dc.descriptionRapidly decaying kernels and frames (needlets) in the context of tensor product Jacobi polynomials are developed based on several constructions of multivariate $C^\infty$ cutoff functions. These tools are further employed to the development of the theory of weighted Triebel-Lizorkin and Besov spaces on $[-1, 1]^d$. It is also shown how kernels induced by cross product bases can be constructed and utilized for the development of weighted spaces of distributions on products of multidimensional ball, cube, sphere or other domains.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/0902.2601
dc.identifierhttp://arxiv.org/abs/0902.2601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219992
dc.subjectClassical Analysis and ODEs
dc.subject42B35, 42C10, 42C40
dc.titleDecomposition of spaces of distributions induced by tensor product bases
dc.typetext

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