2009
DOI: 10.1112/blms/bdp102
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Universal series in ∩ p >1 p

Abstract: In this paper an abstract condition is given yielding universal series defined by sequences a = {a j } ∞ j=1 in ∩p>1 p but not in 1 . We obtain a unification of some known results related to approximation by translates of specific functions including the Riemann ζ-function, or a fundamental solution of a given elliptic operator in R ν with constant coefficients or an approximate identity as, for example, the normal distribution. Another application gives universal trigonometric series in R ν simultaneously wit… Show more

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Cited by 8 publications
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