Approximation by nonfundamental sequences of translates

Zalik, R. A.

doi:10.1090/S0002-9939-1980-0550509-2

Approximation by nonfundamental sequences of translates
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by R. A. Zalik PDF

Proc. Amer. Math. Soc. 78 (1980), 261-266 Request permission

Abstract:

For functions $f(t)$ satisfying certain growth conditions, we consider a sequence of the form $\{ f({c_n} - t)\}$, nonfundamental in ${L_2}(R)$, and find a representation for those functions which are in the closure of its linear span. Some theorems concerning degree of approximation are also proved.

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