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On the Approximation of Functions on Locally Compact Abelian Groups |
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| Authors: | Ugulava D |
| Institution: | (1) N. Muskhelishvili Institute of Computational Mathematics, Georgian Academy of Sciences, 8, Akuri St., Tbilisi, 380093, Georgia |
| Abstract: | Questions of approximative nature are considered for a space of functions L
p(G,  ), 1  p  , defined on a locally compact abelian Hausdorff group G with Haar measure . The approximating subspaces which are analogs of the space of exponential type entire functions are introduced. |
| Keywords: | Locally compact abelian group L p space character Fourier transform entire functions of exponential type best approximation |
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