NDLI: Note on a Result of Kerman and Weit II

Content Provider	Springer Nature Link
Author	Sarkar, Rudra P. Ray, Swagato K.
Copyright Year	2012
Abstract	Let G be a locally compact topological group, equipped with a fixed left Haar measure μ. We show that if f is a compactly supported real valued continuous function on G which has a unique maximum or a unique minimum at a point in G, then the space generated by the span of left translations of {f n ∣n=1,2,3,…} is dense in L p (G,μ), 1≤p<∞, in the space of continuous functions, continuous compactly supported functions and in the space of continuous functions vanishing at ∞. Similar results are true when the group G is substituted by G-spaces with compact isotropy group.
Ending Page	255
Page Count	5
Starting Page	251
File Format	PDF
ISSN	10695869
e-ISSN	15315851
Journal	Journal of Fourier Analysis and Applications
Issue Number	2
Volume Number	19
Language	English
Publisher	SP Birkhäuser Verlag Boston
Publisher Date	2012-10-17
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Abstract Harmonic Analysis Mathematical Methods in Physics Homogeneous spaces Fourier Analysis Locally compact groups Signal, Image and Speech Processing Approximations and Expansions Analysis on homogeneous spaces Partial Differential Equations General properties and structure of locally compact groups
Content Type	Text
Subject	Applied Mathematics Analysis

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