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Title: Fourier transform and rigidity of certain distributions
Authors: Sun, B.
Zhu, C.-B. 
Keywords: affine subspaces
Fourier transform
tempered distributions
Issue Date: Dec-2012
Citation: Sun, B., Zhu, C.-B. (2012-12). Fourier transform and rigidity of certain distributions. International Journal of Mathematics 23 (12) : -. ScholarBank@NUS Repository.
Abstract: Let E be a finite-dimensional vector space over a local field, and F be its dual. For a closed subset X of E, and Y of F, consider the space D -ξ(E; X, Y) of tempered distributions on E whose support are contained in X and support of whose Fourier transform are contained in Y. We show that D-ξ(E; X, Y) possesses a certain rigidity property, for X, Y which are some finite unions of affine subspaces. © World Scientific Publishing Company.
Source Title: International Journal of Mathematics
ISSN: 0129167X
DOI: 10.1142/S0129167X12501297
Appears in Collections:Staff Publications

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