Results in Mathematics

, Volume 31, Issue 3–4, pp 282–291 | Cite as

Functional Equations and Weierstrass Transforms II

Research article


The Weierstrass transform is examined on the space of Lebesgue measurable function on Rn having at most exponential growth, thereby extending to higher dimensions the one-dimensional consideration of [4]. The resulting theory has utility in the study of certain functional equations of “translation” type; two such applications are presented.

1991 Mathematics Subject Classification

39B99 44A15 39A99 


Functional equations Weierstrass transform 


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Copyright information

© Birkh/:auser Verlag, Basel 1997

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of WaterlooWaterlooCanada

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