Journal of the Ramanujan Mathematical Society
Volume 31, Issue 4, December 2016 pp. 431–438.
Remark on a theorem of A. Atzmon regarding uniform
approximation
Authors:
Swagato K. Ray and J. Sengupta
Author institution:Stat-Math Unit, Indian Statistical Institute, 203 B. T. Rd., Calcutta 700 108, India
Summary:
We prove a completeness result for the Euclidean space Rd
which was proved earlier for the case d=1. This result uses the
action of translation, dilation and rotation on a single function
to yield dense subspace of C0(Rd), the Banach space of
continuous functions on Rd vanishing at infinity with supremum
norm.
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